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Finding the Fourth Proportional to 565.02, 779.76 and 355.11

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Solution

The fourth proportional to 565.02, 779.76 and 355.11 is: 490.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.02 : 779.76 = 355.11 : x
  2. Step 2: Convert to fraction form
    565.02/779.76 = 355.11/x
  3. Step 3: Cross multiply
    565.02x = 779.76 × 355.11
  4. Step 4: Simplify right side
    565.02x = 276,900.57
  5. Step 5: Solve for x
    x = 276,900.57/565.02
  6. Step 6: Final answer
    x = 490.07

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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.