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Finding the Fourth Proportional to 565.40, 846.97 and 291.12

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Solution

The fourth proportional to 565.40, 846.97 and 291.12 is: 436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.40 : 846.97 = 291.12 : x
  2. Step 2: Convert to fraction form
    565.40/846.97 = 291.12/x
  3. Step 3: Cross multiply
    565.40x = 846.97 × 291.12
  4. Step 4: Simplify right side
    565.40x = 246,569.91
  5. Step 5: Solve for x
    x = 246,569.91/565.40
  6. Step 6: Final answer
    x = 436.10

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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.