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Finding the Fourth Proportional to 651.84, 977 and 343.24

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Solution

The fourth proportional to 651.84, 977 and 343.24 is: 514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.84 : 977 = 343.24 : x
  2. Step 2: Convert to fraction form
    651.84/977 = 343.24/x
  3. Step 3: Cross multiply
    651.84x = 977 × 343.24
  4. Step 4: Simplify right side
    651.84x = 335,345.48
  5. Step 5: Solve for x
    x = 335,345.48/651.84
  6. Step 6: Final answer
    x = 514.46

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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.