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Finding the Fourth Proportional to 587.62, 809.98 and 463.08

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Solution

The fourth proportional to 587.62, 809.98 and 463.08 is: 638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.62 : 809.98 = 463.08 : x
  2. Step 2: Convert to fraction form
    587.62/809.98 = 463.08/x
  3. Step 3: Cross multiply
    587.62x = 809.98 × 463.08
  4. Step 4: Simplify right side
    587.62x = 375,085.54
  5. Step 5: Solve for x
    x = 375,085.54/587.62
  6. Step 6: Final answer
    x = 638.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.