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Finding the Fourth Proportional to 565.48, 780.72 and 434.24

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Solution

The fourth proportional to 565.48, 780.72 and 434.24 is: 599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.48 : 780.72 = 434.24 : x
  2. Step 2: Convert to fraction form
    565.48/780.72 = 434.24/x
  3. Step 3: Cross multiply
    565.48x = 780.72 × 434.24
  4. Step 4: Simplify right side
    565.48x = 339,019.85
  5. Step 5: Solve for x
    x = 339,019.85/565.48
  6. Step 6: Final answer
    x = 599.53

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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.