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Finding the Fourth Proportional to 457.07, 630.83 and 291.35

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Solution

The fourth proportional to 457.07, 630.83 and 291.35 is: 402.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.07 : 630.83 = 291.35 : x
  2. Step 2: Convert to fraction form
    457.07/630.83 = 291.35/x
  3. Step 3: Cross multiply
    457.07x = 630.83 × 291.35
  4. Step 4: Simplify right side
    457.07x = 183,792.44
  5. Step 5: Solve for x
    x = 183,792.44/457.07
  6. Step 6: Final answer
    x = 402.11

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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.