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Finding the Fourth Proportional to 524, 723.14 and 291.14

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Solution

The fourth proportional to 524, 723.14 and 291.14 is: 401.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    524 : 723.14 = 291.14 : x
  2. Step 2: Convert to fraction form
    524/723.14 = 291.14/x
  3. Step 3: Cross multiply
    524x = 723.14 × 291.14
  4. Step 4: Simplify right side
    524x = 210,533.52
  5. Step 5: Solve for x
    x = 210,533.52/524
  6. Step 6: Final answer
    x = 401.78

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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.