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Finding the Fourth Proportional to 567.57, 783.86 and 390.99

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Solution

The fourth proportional to 567.57, 783.86 and 390.99 is: 539.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.57 : 783.86 = 390.99 : x
  2. Step 2: Convert to fraction form
    567.57/783.86 = 390.99/x
  3. Step 3: Cross multiply
    567.57x = 783.86 × 390.99
  4. Step 4: Simplify right side
    567.57x = 306,479.47
  5. Step 5: Solve for x
    x = 306,479.47/567.57
  6. Step 6: Final answer
    x = 539.99

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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.