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Finding the Fourth Proportional to 508.71, 701.53 and 361.83

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Solution

The fourth proportional to 508.71, 701.53 and 361.83 is: 498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.71 : 701.53 = 361.83 : x
  2. Step 2: Convert to fraction form
    508.71/701.53 = 361.83/x
  3. Step 3: Cross multiply
    508.71x = 701.53 × 361.83
  4. Step 4: Simplify right side
    508.71x = 253,834.60
  5. Step 5: Solve for x
    x = 253,834.60/508.71
  6. Step 6: Final answer
    x = 498.98

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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.