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Finding the Fourth Proportional to 656.02, 905.69 and 407.48

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Solution

The fourth proportional to 656.02, 905.69 and 407.48 is: 562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.02 : 905.69 = 407.48 : x
  2. Step 2: Convert to fraction form
    656.02/905.69 = 407.48/x
  3. Step 3: Cross multiply
    656.02x = 905.69 × 407.48
  4. Step 4: Simplify right side
    656.02x = 369,046.03
  5. Step 5: Solve for x
    x = 369,046.03/656.02
  6. Step 6: Final answer
    x = 562.55

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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.