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Finding the Fourth Proportional to 458.42, 632.13 and 302.90

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Solution

The fourth proportional to 458.42, 632.13 and 302.90 is: 417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.42 : 632.13 = 302.90 : x
  2. Step 2: Convert to fraction form
    458.42/632.13 = 302.90/x
  3. Step 3: Cross multiply
    458.42x = 632.13 × 302.90
  4. Step 4: Simplify right side
    458.42x = 191,472.18
  5. Step 5: Solve for x
    x = 191,472.18/458.42
  6. Step 6: Final answer
    x = 417.68

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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.