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Finding the Fourth Proportional to 458.16, 632.55 and 334.14

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Solution

The fourth proportional to 458.16, 632.55 and 334.14 is: 461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.16 : 632.55 = 334.14 : x
  2. Step 2: Convert to fraction form
    458.16/632.55 = 334.14/x
  3. Step 3: Cross multiply
    458.16x = 632.55 × 334.14
  4. Step 4: Simplify right side
    458.16x = 211,360.26
  5. Step 5: Solve for x
    x = 211,360.26/458.16
  6. Step 6: Final answer
    x = 461.32

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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.