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Finding the Fourth Proportional to 661.88, 914.10 and 475.52

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Solution

The fourth proportional to 661.88, 914.10 and 475.52 is: 656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.88 : 914.10 = 475.52 : x
  2. Step 2: Convert to fraction form
    661.88/914.10 = 475.52/x
  3. Step 3: Cross multiply
    661.88x = 914.10 × 475.52
  4. Step 4: Simplify right side
    661.88x = 434,672.83
  5. Step 5: Solve for x
    x = 434,672.83/661.88
  6. Step 6: Final answer
    x = 656.72

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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.