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Finding the Fourth Proportional to 565.02, 847.55 and 410.21

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Solution

The fourth proportional to 565.02, 847.55 and 410.21 is: 615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.02 : 847.55 = 410.21 : x
  2. Step 2: Convert to fraction form
    565.02/847.55 = 410.21/x
  3. Step 3: Cross multiply
    565.02x = 847.55 × 410.21
  4. Step 4: Simplify right side
    565.02x = 347,673.49
  5. Step 5: Solve for x
    x = 347,673.49/565.02
  6. Step 6: Final answer
    x = 615.33

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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.