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Finding the Fourth Proportional to 657.60, 984.96 and 466.08

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Solution

The fourth proportional to 657.60, 984.96 and 466.08 is: 698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.60 : 984.96 = 466.08 : x
  2. Step 2: Convert to fraction form
    657.60/984.96 = 466.08/x
  3. Step 3: Cross multiply
    657.60x = 984.96 × 466.08
  4. Step 4: Simplify right side
    657.60x = 459,070.16
  5. Step 5: Solve for x
    x = 459,070.16/657.60
  6. Step 6: Final answer
    x = 698.10

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Why These Related Problems?

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