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Finding the Fourth Proportional to 565.72, 847.02 and 370.14

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Solution

The fourth proportional to 565.72, 847.02 and 370.14 is: 554.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.72 : 847.02 = 370.14 : x
  2. Step 2: Convert to fraction form
    565.72/847.02 = 370.14/x
  3. Step 3: Cross multiply
    565.72x = 847.02 × 370.14
  4. Step 4: Simplify right side
    565.72x = 313,515.98
  5. Step 5: Solve for x
    x = 313,515.98/565.72
  6. Step 6: Final answer
    x = 554.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.