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Finding the Fourth Proportional to 475.35, 712.53 and 354.15

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Solution

The fourth proportional to 475.35, 712.53 and 354.15 is: 530.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.35 : 712.53 = 354.15 : x
  2. Step 2: Convert to fraction form
    475.35/712.53 = 354.15/x
  3. Step 3: Cross multiply
    475.35x = 712.53 × 354.15
  4. Step 4: Simplify right side
    475.35x = 252,342.50
  5. Step 5: Solve for x
    x = 252,342.50/475.35
  6. Step 6: Final answer
    x = 530.86

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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.