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Finding the Fourth Proportional to 567.48, 782.64 and 387.84

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Solution

The fourth proportional to 567.48, 782.64 and 387.84 is: 534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.48 : 782.64 = 387.84 : x
  2. Step 2: Convert to fraction form
    567.48/782.64 = 387.84/x
  3. Step 3: Cross multiply
    567.48x = 782.64 × 387.84
  4. Step 4: Simplify right side
    567.48x = 303,539.10
  5. Step 5: Solve for x
    x = 303,539.10/567.48
  6. Step 6: Final answer
    x = 534.89

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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.