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Finding the Fourth Proportional to 565.58, 846.98 and 461.04

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Solution

The fourth proportional to 565.58, 846.98 and 461.04 is: 690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.58 : 846.98 = 461.04 : x
  2. Step 2: Convert to fraction form
    565.58/846.98 = 461.04/x
  3. Step 3: Cross multiply
    565.58x = 846.98 × 461.04
  4. Step 4: Simplify right side
    565.58x = 390,491.66
  5. Step 5: Solve for x
    x = 390,491.66/565.58
  6. Step 6: Final answer
    x = 690.43

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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.