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Finding the Fourth Proportional to 567.18, 783.19 and 390.09

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Solution

The fourth proportional to 567.18, 783.19 and 390.09 is: 538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.18 : 783.19 = 390.09 : x
  2. Step 2: Convert to fraction form
    567.18/783.19 = 390.09/x
  3. Step 3: Cross multiply
    567.18x = 783.19 × 390.09
  4. Step 4: Simplify right side
    567.18x = 305,516.91
  5. Step 5: Solve for x
    x = 305,516.91/567.18
  6. Step 6: Final answer
    x = 538.66

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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.