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Finding the Fourth Proportional to 652.32, 977.04 and 434.88

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Solution

The fourth proportional to 652.32, 977.04 and 434.88 is: 651.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.32 : 977.04 = 434.88 : x
  2. Step 2: Convert to fraction form
    652.32/977.04 = 434.88/x
  3. Step 3: Cross multiply
    652.32x = 977.04 × 434.88
  4. Step 4: Simplify right side
    652.32x = 424,895.16
  5. Step 5: Solve for x
    x = 424,895.16/652.32
  6. Step 6: Final answer
    x = 651.36

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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.