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Finding the Fourth Proportional to 652.78, 977.29 and 433.63

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Solution

The fourth proportional to 652.78, 977.29 and 433.63 is: 649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.78 : 977.29 = 433.63 : x
  2. Step 2: Convert to fraction form
    652.78/977.29 = 433.63/x
  3. Step 3: Cross multiply
    652.78x = 977.29 × 433.63
  4. Step 4: Simplify right side
    652.78x = 423,782.40
  5. Step 5: Solve for x
    x = 423,782.40/652.78
  6. Step 6: Final answer
    x = 649.20

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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.