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Finding the Fourth Proportional to 565.34, 780.46 and 535.20

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Solution

The fourth proportional to 565.34, 780.46 and 535.20 is: 738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.34 : 780.46 = 535.20 : x
  2. Step 2: Convert to fraction form
    565.34/780.46 = 535.20/x
  3. Step 3: Cross multiply
    565.34x = 780.46 × 535.20
  4. Step 4: Simplify right side
    565.34x = 417,702.19
  5. Step 5: Solve for x
    x = 417,702.19/565.34
  6. Step 6: Final answer
    x = 738.85

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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.