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Finding the Fourth Proportional to 567.18, 846.59 and 508.86

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Solution

The fourth proportional to 567.18, 846.59 and 508.86 is: 759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.18 : 846.59 = 508.86 : x
  2. Step 2: Convert to fraction form
    567.18/846.59 = 508.86/x
  3. Step 3: Cross multiply
    567.18x = 846.59 × 508.86
  4. Step 4: Simplify right side
    567.18x = 430,793.24
  5. Step 5: Solve for x
    x = 430,793.24/567.18
  6. Step 6: Final answer
    x = 759.54

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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.