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Finding the Fourth Proportional to 578.19, 864.20 and 503.49

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Solution

The fourth proportional to 578.19, 864.20 and 503.49 is: 752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.19 : 864.20 = 503.49 : x
  2. Step 2: Convert to fraction form
    578.19/864.20 = 503.49/x
  3. Step 3: Cross multiply
    578.19x = 864.20 × 503.49
  4. Step 4: Simplify right side
    578.19x = 435,116.49
  5. Step 5: Solve for x
    x = 435,116.49/578.19
  6. Step 6: Final answer
    x = 752.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.