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Finding the Fourth Proportional to 605.36, 907.56 and 432.02

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Solution

The fourth proportional to 605.36, 907.56 and 432.02 is: 647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.36 : 907.56 = 432.02 : x
  2. Step 2: Convert to fraction form
    605.36/907.56 = 432.02/x
  3. Step 3: Cross multiply
    605.36x = 907.56 × 432.02
  4. Step 4: Simplify right side
    605.36x = 392,084.07
  5. Step 5: Solve for x
    x = 392,084.07/605.36
  6. Step 6: Final answer
    x = 647.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.