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Finding the Fourth Proportional to 508.68, 761.94 and 354.24

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Solution

The fourth proportional to 508.68, 761.94 and 354.24 is: 530.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.68 : 761.94 = 354.24 : x
  2. Step 2: Convert to fraction form
    508.68/761.94 = 354.24/x
  3. Step 3: Cross multiply
    508.68x = 761.94 × 354.24
  4. Step 4: Simplify right side
    508.68x = 269,909.63
  5. Step 5: Solve for x
    x = 269,909.63/508.68
  6. Step 6: Final answer
    x = 530.61

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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.