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Finding the Fourth Proportional to 351.59, 526.16 and 289.14

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Solution

The fourth proportional to 351.59, 526.16 and 289.14 is: 432.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.59 : 526.16 = 289.14 : x
  2. Step 2: Convert to fraction form
    351.59/526.16 = 289.14/x
  3. Step 3: Cross multiply
    351.59x = 526.16 × 289.14
  4. Step 4: Simplify right side
    351.59x = 152,133.90
  5. Step 5: Solve for x
    x = 152,133.90/351.59
  6. Step 6: Final answer
    x = 432.70

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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.