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Finding the Fourth Proportional to 651.90, 978.00 and 286.71

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Solution

The fourth proportional to 651.90, 978.00 and 286.71 is: 430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.90 : 978.00 = 286.71 : x
  2. Step 2: Convert to fraction form
    651.90/978.00 = 286.71/x
  3. Step 3: Cross multiply
    651.90x = 978.00 × 286.71
  4. Step 4: Simplify right side
    651.90x = 280,406.70
  5. Step 5: Solve for x
    x = 280,406.70/651.90
  6. Step 6: Final answer
    x = 430.14

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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.