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Finding the Fourth Proportional to 651.70, 977.45 and 240.75

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Solution

The fourth proportional to 651.70, 977.45 and 240.75 is: 361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.70 : 977.45 = 240.75 : x
  2. Step 2: Convert to fraction form
    651.70/977.45 = 240.75/x
  3. Step 3: Cross multiply
    651.70x = 977.45 × 240.75
  4. Step 4: Simplify right side
    651.70x = 235,316.80
  5. Step 5: Solve for x
    x = 235,316.80/651.70
  6. Step 6: Final answer
    x = 361.08

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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.