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Finding the Fourth Proportional to 458.93, 633.02 and 360.52

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Solution

The fourth proportional to 458.93, 633.02 and 360.52 is: 497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.93 : 633.02 = 360.52 : x
  2. Step 2: Convert to fraction form
    458.93/633.02 = 360.52/x
  3. Step 3: Cross multiply
    458.93x = 633.02 × 360.52
  4. Step 4: Simplify right side
    458.93x = 228,212.99
  5. Step 5: Solve for x
    x = 228,212.99/458.93
  6. Step 6: Final answer
    x = 497.27

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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.