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Finding the Fourth Proportional to 615.36, 849.24 and 429.60

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Solution

The fourth proportional to 615.36, 849.24 and 429.60 is: 592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.36 : 849.24 = 429.60 : x
  2. Step 2: Convert to fraction form
    615.36/849.24 = 429.60/x
  3. Step 3: Cross multiply
    615.36x = 849.24 × 429.60
  4. Step 4: Simplify right side
    615.36x = 364,833.50
  5. Step 5: Solve for x
    x = 364,833.50/615.36
  6. Step 6: Final answer
    x = 592.88

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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.