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Finding the Fourth Proportional to 567.40, 848.79 and 402.86

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Solution

The fourth proportional to 567.40, 848.79 and 402.86 is: 602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.40 : 848.79 = 402.86 : x
  2. Step 2: Convert to fraction form
    567.40/848.79 = 402.86/x
  3. Step 3: Cross multiply
    567.40x = 848.79 × 402.86
  4. Step 4: Simplify right side
    567.40x = 341,943.54
  5. Step 5: Solve for x
    x = 341,943.54/567.40
  6. Step 6: Final answer
    x = 602.65

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