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Finding the Fourth Proportional to 658.96, 910 and 473.06

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Solution

The fourth proportional to 658.96, 910 and 473.06 is: 653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.96 : 910 = 473.06 : x
  2. Step 2: Convert to fraction form
    658.96/910 = 473.06/x
  3. Step 3: Cross multiply
    658.96x = 910 × 473.06
  4. Step 4: Simplify right side
    658.96x = 430,484.60
  5. Step 5: Solve for x
    x = 430,484.60/658.96
  6. Step 6: Final answer
    x = 653.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.