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Finding the Fourth Proportional to 651.83, 977.75 and 286.53

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Solution

The fourth proportional to 651.83, 977.75 and 286.53 is: 429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.83 : 977.75 = 286.53 : x
  2. Step 2: Convert to fraction form
    651.83/977.75 = 286.53/x
  3. Step 3: Cross multiply
    651.83x = 977.75 × 286.53
  4. Step 4: Simplify right side
    651.83x = 280,153.27
  5. Step 5: Solve for x
    x = 280,153.27/651.83
  6. Step 6: Final answer
    x = 429.80

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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.