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Finding the Fourth Proportional to 615.64, 924.54 and 524.92

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Solution

The fourth proportional to 615.64, 924.54 and 524.92 is: 788.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.64 : 924.54 = 524.92 : x
  2. Step 2: Convert to fraction form
    615.64/924.54 = 524.92/x
  3. Step 3: Cross multiply
    615.64x = 924.54 × 524.92
  4. Step 4: Simplify right side
    615.64x = 485,309.54
  5. Step 5: Solve for x
    x = 485,309.54/615.64
  6. Step 6: Final answer
    x = 788.30

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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.