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Finding the Fourth Proportional to 475.76, 713.43 and 430.53

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Solution

The fourth proportional to 475.76, 713.43 and 430.53 is: 645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.76 : 713.43 = 430.53 : x
  2. Step 2: Convert to fraction form
    475.76/713.43 = 430.53/x
  3. Step 3: Cross multiply
    475.76x = 713.43 × 430.53
  4. Step 4: Simplify right side
    475.76x = 307,153.02
  5. Step 5: Solve for x
    x = 307,153.02/475.76
  6. Step 6: Final answer
    x = 645.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.