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Finding the Fourth Proportional to 657.01, 984.96 and 291.60

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Solution

The fourth proportional to 657.01, 984.96 and 291.60 is: 437.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.01 : 984.96 = 291.60 : x
  2. Step 2: Convert to fraction form
    657.01/984.96 = 291.60/x
  3. Step 3: Cross multiply
    657.01x = 984.96 × 291.60
  4. Step 4: Simplify right side
    657.01x = 287,214.34
  5. Step 5: Solve for x
    x = 287,214.34/657.01
  6. Step 6: Final answer
    x = 437.15

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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.