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Finding the Fourth Proportional to 565.71, 780.87 and 369.01

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Solution

The fourth proportional to 565.71, 780.87 and 369.01 is: 509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.71 : 780.87 = 369.01 : x
  2. Step 2: Convert to fraction form
    565.71/780.87 = 369.01/x
  3. Step 3: Cross multiply
    565.71x = 780.87 × 369.01
  4. Step 4: Simplify right side
    565.71x = 288,148.84
  5. Step 5: Solve for x
    x = 288,148.84/565.71
  6. Step 6: Final answer
    x = 509.36

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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.