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Finding the Fourth Proportional to 657.81, 906.72 and 458.94

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Solution

The fourth proportional to 657.81, 906.72 and 458.94 is: 632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.81 : 906.72 = 458.94 : x
  2. Step 2: Convert to fraction form
    657.81/906.72 = 458.94/x
  3. Step 3: Cross multiply
    657.81x = 906.72 × 458.94
  4. Step 4: Simplify right side
    657.81x = 416,130.08
  5. Step 5: Solve for x
    x = 416,130.08/657.81
  6. Step 6: Final answer
    x = 632.60

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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.