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Finding the Fourth Proportional to 656.44, 905.88 and 407.86

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Solution

The fourth proportional to 656.44, 905.88 and 407.86 is: 562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.44 : 905.88 = 407.86 : x
  2. Step 2: Convert to fraction form
    656.44/905.88 = 407.86/x
  3. Step 3: Cross multiply
    656.44x = 905.88 × 407.86
  4. Step 4: Simplify right side
    656.44x = 369,472.22
  5. Step 5: Solve for x
    x = 369,472.22/656.44
  6. Step 6: Final answer
    x = 562.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.