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Finding the Fourth Proportional to 567.67, 784.16 and 444.88

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Solution

The fourth proportional to 567.67, 784.16 and 444.88 is: 614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.67 : 784.16 = 444.88 : x
  2. Step 2: Convert to fraction form
    567.67/784.16 = 444.88/x
  3. Step 3: Cross multiply
    567.67x = 784.16 × 444.88
  4. Step 4: Simplify right side
    567.67x = 348,854.88
  5. Step 5: Solve for x
    x = 348,854.88/567.67
  6. Step 6: Final answer
    x = 614.54

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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.