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Finding the Fourth Proportional to 567.90, 852.15 and 239.06

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Solution

The fourth proportional to 567.90, 852.15 and 239.06 is: 358.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.90 : 852.15 = 239.06 : x
  2. Step 2: Convert to fraction form
    567.90/852.15 = 239.06/x
  3. Step 3: Cross multiply
    567.90x = 852.15 × 239.06
  4. Step 4: Simplify right side
    567.90x = 203,718.01
  5. Step 5: Solve for x
    x = 203,718.01/567.90
  6. Step 6: Final answer
    x = 358.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.