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Finding the Fourth Proportional to 607.52, 906.52 and 546.24

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Solution

The fourth proportional to 607.52, 906.52 and 546.24 is: 815.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.52 : 906.52 = 546.24 : x
  2. Step 2: Convert to fraction form
    607.52/906.52 = 546.24/x
  3. Step 3: Cross multiply
    607.52x = 906.52 × 546.24
  4. Step 4: Simplify right side
    607.52x = 495,177.48
  5. Step 5: Solve for x
    x = 495,177.48/607.52
  6. Step 6: Final answer
    x = 815.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.