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Finding the Fourth Proportional to 567.24, 782.83 and 318.58

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Solution

The fourth proportional to 567.24, 782.83 and 318.58 is: 439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.24 : 782.83 = 318.58 : x
  2. Step 2: Convert to fraction form
    567.24/782.83 = 318.58/x
  3. Step 3: Cross multiply
    567.24x = 782.83 × 318.58
  4. Step 4: Simplify right side
    567.24x = 249,393.98
  5. Step 5: Solve for x
    x = 249,393.98/567.24
  6. Step 6: Final answer
    x = 439.66

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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.