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Finding the Fourth Proportional to 478.61, 718.16 and 363.02

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Solution

The fourth proportional to 478.61, 718.16 and 363.02 is: 544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.61 : 718.16 = 363.02 : x
  2. Step 2: Convert to fraction form
    478.61/718.16 = 363.02/x
  3. Step 3: Cross multiply
    478.61x = 718.16 × 363.02
  4. Step 4: Simplify right side
    478.61x = 260,701.04
  5. Step 5: Solve for x
    x = 260,701.04/478.61
  6. Step 6: Final answer
    x = 544.71

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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.