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Finding the Fourth Proportional to 656.55, 905.75 and 432.19

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Solution

The fourth proportional to 656.55, 905.75 and 432.19 is: 596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.55 : 905.75 = 432.19 : x
  2. Step 2: Convert to fraction form
    656.55/905.75 = 432.19/x
  3. Step 3: Cross multiply
    656.55x = 905.75 × 432.19
  4. Step 4: Simplify right side
    656.55x = 391,455.32
  5. Step 5: Solve for x
    x = 391,455.32/656.55
  6. Step 6: Final answer
    x = 596.23

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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.