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Finding the Fourth Proportional to 652.05, 977.76 and 240.98

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Solution

The fourth proportional to 652.05, 977.76 and 240.98 is: 361.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.05 : 977.76 = 240.98 : x
  2. Step 2: Convert to fraction form
    652.05/977.76 = 240.98/x
  3. Step 3: Cross multiply
    652.05x = 977.76 × 240.98
  4. Step 4: Simplify right side
    652.05x = 235,615.72
  5. Step 5: Solve for x
    x = 235,615.72/652.05
  6. Step 6: Final answer
    x = 361.35

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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.