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Finding the Fourth Proportional to 565.13, 780 and 344.03

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Solution

The fourth proportional to 565.13, 780 and 344.03 is: 474.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.13 : 780 = 344.03 : x
  2. Step 2: Convert to fraction form
    565.13/780 = 344.03/x
  3. Step 3: Cross multiply
    565.13x = 780 × 344.03
  4. Step 4: Simplify right side
    565.13x = 268,339.50
  5. Step 5: Solve for x
    x = 268,339.50/565.13
  6. Step 6: Final answer
    x = 474.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.