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Finding the Fourth Proportional to 587.55, 809.89 and 463.01

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Solution

The fourth proportional to 587.55, 809.89 and 463.01 is: 638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.55 : 809.89 = 463.01 : x
  2. Step 2: Convert to fraction form
    587.55/809.89 = 463.01/x
  3. Step 3: Cross multiply
    587.55x = 809.89 × 463.01
  4. Step 4: Simplify right side
    587.55x = 374,987.17
  5. Step 5: Solve for x
    x = 374,987.17/587.55
  6. Step 6: Final answer
    x = 638.22

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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.