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Finding the Fourth Proportional to 458.86, 633.53 and 293.15

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Solution

The fourth proportional to 458.86, 633.53 and 293.15 is: 404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.86 : 633.53 = 293.15 : x
  2. Step 2: Convert to fraction form
    458.86/633.53 = 293.15/x
  3. Step 3: Cross multiply
    458.86x = 633.53 × 293.15
  4. Step 4: Simplify right side
    458.86x = 185,719.32
  5. Step 5: Solve for x
    x = 185,719.32/458.86
  6. Step 6: Final answer
    x = 404.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.