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Finding the Fourth Proportional to 656.53, 906.05 and 407.86

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Solution

The fourth proportional to 656.53, 906.05 and 407.86 is: 562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.53 : 906.05 = 407.86 : x
  2. Step 2: Convert to fraction form
    656.53/906.05 = 407.86/x
  3. Step 3: Cross multiply
    656.53x = 906.05 × 407.86
  4. Step 4: Simplify right side
    656.53x = 369,541.55
  5. Step 5: Solve for x
    x = 369,541.55/656.53
  6. Step 6: Final answer
    x = 562.87

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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.