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Finding the Fourth Proportional to 565.32, 780.93 and 543.18

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Solution

The fourth proportional to 565.32, 780.93 and 543.18 is: 750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.32 : 780.93 = 543.18 : x
  2. Step 2: Convert to fraction form
    565.32/780.93 = 543.18/x
  3. Step 3: Cross multiply
    565.32x = 780.93 × 543.18
  4. Step 4: Simplify right side
    565.32x = 424,185.56
  5. Step 5: Solve for x
    x = 424,185.56/565.32
  6. Step 6: Final answer
    x = 750.35

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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.