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Finding the Fourth Proportional to 565.12, 780 and 539.08

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Solution

The fourth proportional to 565.12, 780 and 539.08 is: 744.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.12 : 780 = 539.08 : x
  2. Step 2: Convert to fraction form
    565.12/780 = 539.08/x
  3. Step 3: Cross multiply
    565.12x = 780 × 539.08
  4. Step 4: Simplify right side
    565.12x = 420,482.40
  5. Step 5: Solve for x
    x = 420,482.40/565.12
  6. Step 6: Final answer
    x = 744.06

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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.