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Finding the Fourth Proportional to 654.06, 902.84 and 458.15

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Solution

The fourth proportional to 654.06, 902.84 and 458.15 is: 632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.06 : 902.84 = 458.15 : x
  2. Step 2: Convert to fraction form
    654.06/902.84 = 458.15/x
  3. Step 3: Cross multiply
    654.06x = 902.84 × 458.15
  4. Step 4: Simplify right side
    654.06x = 413,631.60
  5. Step 5: Solve for x
    x = 413,631.60/654.06
  6. Step 6: Final answer
    x = 632.40

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Why These Related Problems?

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