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Finding the Fourth Proportional to 565.29, 779.76 and 355.01

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Solution

The fourth proportional to 565.29, 779.76 and 355.01 is: 489.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.29 : 779.76 = 355.01 : x
  2. Step 2: Convert to fraction form
    565.29/779.76 = 355.01/x
  3. Step 3: Cross multiply
    565.29x = 779.76 × 355.01
  4. Step 4: Simplify right side
    565.29x = 276,818.70
  5. Step 5: Solve for x
    x = 276,818.70/565.29
  6. Step 6: Final answer
    x = 489.69

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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.