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Finding the Fourth Proportional to 565.16, 779.70 and 344.13

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Solution

The fourth proportional to 565.16, 779.70 and 344.13 is: 474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.16 : 779.70 = 344.13 : x
  2. Step 2: Convert to fraction form
    565.16/779.70 = 344.13/x
  3. Step 3: Cross multiply
    565.16x = 779.70 × 344.13
  4. Step 4: Simplify right side
    565.16x = 268,316.53
  5. Step 5: Solve for x
    x = 268,316.53/565.16
  6. Step 6: Final answer
    x = 474.77

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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.