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Finding the Fourth Proportional to 565.23, 847.17 and 304.86

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Solution

The fourth proportional to 565.23, 847.17 and 304.86 is: 456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.23 : 847.17 = 304.86 : x
  2. Step 2: Convert to fraction form
    565.23/847.17 = 304.86/x
  3. Step 3: Cross multiply
    565.23x = 847.17 × 304.86
  4. Step 4: Simplify right side
    565.23x = 258,268.25
  5. Step 5: Solve for x
    x = 258,268.25/565.23
  6. Step 6: Final answer
    x = 456.93

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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.