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Finding the Fourth Proportional to 475.38, 714.12 and 430.02

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Solution

The fourth proportional to 475.38, 714.12 and 430.02 is: 645.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.38 : 714.12 = 430.02 : x
  2. Step 2: Convert to fraction form
    475.38/714.12 = 430.02/x
  3. Step 3: Cross multiply
    475.38x = 714.12 × 430.02
  4. Step 4: Simplify right side
    475.38x = 307,085.88
  5. Step 5: Solve for x
    x = 307,085.88/475.38
  6. Step 6: Final answer
    x = 645.98

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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.