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Finding the Fourth Proportional to 477.60, 659.12 and 291.06

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Solution

The fourth proportional to 477.60, 659.12 and 291.06 is: 401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.60 : 659.12 = 291.06 : x
  2. Step 2: Convert to fraction form
    477.60/659.12 = 291.06/x
  3. Step 3: Cross multiply
    477.60x = 659.12 × 291.06
  4. Step 4: Simplify right side
    477.60x = 191,843.47
  5. Step 5: Solve for x
    x = 191,843.47/477.60
  6. Step 6: Final answer
    x = 401.68

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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.