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Finding the Fourth Proportional to 567.59, 782.69 and 534.51

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Solution

The fourth proportional to 567.59, 782.69 and 534.51 is: 737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.59 : 782.69 = 534.51 : x
  2. Step 2: Convert to fraction form
    567.59/782.69 = 534.51/x
  3. Step 3: Cross multiply
    567.59x = 782.69 × 534.51
  4. Step 4: Simplify right side
    567.59x = 418,357.59
  5. Step 5: Solve for x
    x = 418,357.59/567.59
  6. Step 6: Final answer
    x = 737.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.