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Finding the Fourth Proportional to 565.64, 780.64 and 521

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Solution

The fourth proportional to 565.64, 780.64 and 521 is: 719.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.64 : 780.64 = 521 : x
  2. Step 2: Convert to fraction form
    565.64/780.64 = 521/x
  3. Step 3: Cross multiply
    565.64x = 780.64 × 521
  4. Step 4: Simplify right side
    565.64x = 406,713.44
  5. Step 5: Solve for x
    x = 406,713.44/565.64
  6. Step 6: Final answer
    x = 719.03

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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.