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Finding the Fourth Proportional to 472.89, 710.25 and 430.06

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Solution

The fourth proportional to 472.89, 710.25 and 430.06 is: 645.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.89 : 710.25 = 430.06 : x
  2. Step 2: Convert to fraction form
    472.89/710.25 = 430.06/x
  3. Step 3: Cross multiply
    472.89x = 710.25 × 430.06
  4. Step 4: Simplify right side
    472.89x = 305,450.12
  5. Step 5: Solve for x
    x = 305,450.12/472.89
  6. Step 6: Final answer
    x = 645.92

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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.