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Finding the Fourth Proportional to 524.22, 784.78 and 318.18

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Solution

The fourth proportional to 524.22, 784.78 and 318.18 is: 476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.22 : 784.78 = 318.18 : x
  2. Step 2: Convert to fraction form
    524.22/784.78 = 318.18/x
  3. Step 3: Cross multiply
    524.22x = 784.78 × 318.18
  4. Step 4: Simplify right side
    524.22x = 249,701.30
  5. Step 5: Solve for x
    x = 249,701.30/524.22
  6. Step 6: Final answer
    x = 476.33

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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.