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Finding the Fourth Proportional to 615.60, 921.24 and 535.32

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Solution

The fourth proportional to 615.60, 921.24 and 535.32 is: 801.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.60 : 921.24 = 535.32 : x
  2. Step 2: Convert to fraction form
    615.60/921.24 = 535.32/x
  3. Step 3: Cross multiply
    615.60x = 921.24 × 535.32
  4. Step 4: Simplify right side
    615.60x = 493,158.20
  5. Step 5: Solve for x
    x = 493,158.20/615.60
  6. Step 6: Final answer
    x = 801.10

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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.