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Finding the Fourth Proportional to 590.99, 885.69 and 316.49

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Solution

The fourth proportional to 590.99, 885.69 and 316.49 is: 474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.99 : 885.69 = 316.49 : x
  2. Step 2: Convert to fraction form
    590.99/885.69 = 316.49/x
  3. Step 3: Cross multiply
    590.99x = 885.69 × 316.49
  4. Step 4: Simplify right side
    590.99x = 280,307.60
  5. Step 5: Solve for x
    x = 280,307.60/590.99
  6. Step 6: Final answer
    x = 474.31

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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.