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Finding the Fourth Proportional to 567.80, 783.54 and 357.91

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Solution

The fourth proportional to 567.80, 783.54 and 357.91 is: 493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.80 : 783.54 = 357.91 : x
  2. Step 2: Convert to fraction form
    567.80/783.54 = 357.91/x
  3. Step 3: Cross multiply
    567.80x = 783.54 × 357.91
  4. Step 4: Simplify right side
    567.80x = 280,436.80
  5. Step 5: Solve for x
    x = 280,436.80/567.80
  6. Step 6: Final answer
    x = 493.90

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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.