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Finding the Fourth Proportional to 605.04, 907.12 and 458.64

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Solution

The fourth proportional to 605.04, 907.12 and 458.64 is: 687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.04 : 907.12 = 458.64 : x
  2. Step 2: Convert to fraction form
    605.04/907.12 = 458.64/x
  3. Step 3: Cross multiply
    605.04x = 907.12 × 458.64
  4. Step 4: Simplify right side
    605.04x = 416,041.52
  5. Step 5: Solve for x
    x = 416,041.52/605.04
  6. Step 6: Final answer
    x = 687.63

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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.