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Finding the Fourth Proportional to 590.49, 885.51 and 282.26

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Solution

The fourth proportional to 590.49, 885.51 and 282.26 is: 423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.49 : 885.51 = 282.26 : x
  2. Step 2: Convert to fraction form
    590.49/885.51 = 282.26/x
  3. Step 3: Cross multiply
    590.49x = 885.51 × 282.26
  4. Step 4: Simplify right side
    590.49x = 249,942.98
  5. Step 5: Solve for x
    x = 249,942.98/590.49
  6. Step 6: Final answer
    x = 423.28

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.