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Finding the Fourth Proportional to 565.18, 780.23 and 408.24

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Solution

The fourth proportional to 565.18, 780.23 and 408.24 is: 563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.18 : 780.23 = 408.24 : x
  2. Step 2: Convert to fraction form
    565.18/780.23 = 408.24/x
  3. Step 3: Cross multiply
    565.18x = 780.23 × 408.24
  4. Step 4: Simplify right side
    565.18x = 318,522.12
  5. Step 5: Solve for x
    x = 318,522.12/565.18
  6. Step 6: Final answer
    x = 563.58

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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.