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Finding the Fourth Proportional to 567.44, 846.58 and 505.88

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Solution

The fourth proportional to 567.44, 846.58 and 505.88 is: 754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.44 : 846.58 = 505.88 : x
  2. Step 2: Convert to fraction form
    567.44/846.58 = 505.88/x
  3. Step 3: Cross multiply
    567.44x = 846.58 × 505.88
  4. Step 4: Simplify right side
    567.44x = 428,267.89
  5. Step 5: Solve for x
    x = 428,267.89/567.44
  6. Step 6: Final answer
    x = 754.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.