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Finding the Fourth Proportional to 508.47, 762.35 and 412.71

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Solution

The fourth proportional to 508.47, 762.35 and 412.71 is: 618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.47 : 762.35 = 412.71 : x
  2. Step 2: Convert to fraction form
    508.47/762.35 = 412.71/x
  3. Step 3: Cross multiply
    508.47x = 762.35 × 412.71
  4. Step 4: Simplify right side
    508.47x = 314,627.40
  5. Step 5: Solve for x
    x = 314,627.40/508.47
  6. Step 6: Final answer
    x = 618.77

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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.