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Finding the Fourth Proportional to 651.60, 900.36 and 476.64

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Solution

The fourth proportional to 651.60, 900.36 and 476.64 is: 658.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.60 : 900.36 = 476.64 : x
  2. Step 2: Convert to fraction form
    651.60/900.36 = 476.64/x
  3. Step 3: Cross multiply
    651.60x = 900.36 × 476.64
  4. Step 4: Simplify right side
    651.60x = 429,147.59
  5. Step 5: Solve for x
    x = 429,147.59/651.60
  6. Step 6: Final answer
    x = 658.61

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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.