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Finding the Fourth Proportional to 565.88, 780.98 and 369.05

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Solution

The fourth proportional to 565.88, 780.98 and 369.05 is: 509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.88 : 780.98 = 369.05 : x
  2. Step 2: Convert to fraction form
    565.88/780.98 = 369.05/x
  3. Step 3: Cross multiply
    565.88x = 780.98 × 369.05
  4. Step 4: Simplify right side
    565.88x = 288,220.67
  5. Step 5: Solve for x
    x = 288,220.67/565.88
  6. Step 6: Final answer
    x = 509.33

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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.