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Finding the Fourth Proportional to 458.02, 631.88 and 283.06

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Solution

The fourth proportional to 458.02, 631.88 and 283.06 is: 390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.02 : 631.88 = 283.06 : x
  2. Step 2: Convert to fraction form
    458.02/631.88 = 283.06/x
  3. Step 3: Cross multiply
    458.02x = 631.88 × 283.06
  4. Step 4: Simplify right side
    458.02x = 178,859.95
  5. Step 5: Solve for x
    x = 178,859.95/458.02
  6. Step 6: Final answer
    x = 390.51

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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.