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Finding the Fourth Proportional to 656.46, 905.02 and 469.90

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Solution

The fourth proportional to 656.46, 905.02 and 469.90 is: 647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.46 : 905.02 = 469.90 : x
  2. Step 2: Convert to fraction form
    656.46/905.02 = 469.90/x
  3. Step 3: Cross multiply
    656.46x = 905.02 × 469.90
  4. Step 4: Simplify right side
    656.46x = 425,268.90
  5. Step 5: Solve for x
    x = 425,268.90/656.46
  6. Step 6: Final answer
    x = 647.82

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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.