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Finding the Fourth Proportional to 665.12, 917.88 and 432.08

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Solution

The fourth proportional to 665.12, 917.88 and 432.08 is: 596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.12 : 917.88 = 432.08 : x
  2. Step 2: Convert to fraction form
    665.12/917.88 = 432.08/x
  3. Step 3: Cross multiply
    665.12x = 917.88 × 432.08
  4. Step 4: Simplify right side
    665.12x = 396,597.59
  5. Step 5: Solve for x
    x = 396,597.59/665.12
  6. Step 6: Final answer
    x = 596.28

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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.