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Finding the Fourth Proportional to 484.61, 726.95 and 412.00

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Solution

The fourth proportional to 484.61, 726.95 and 412.00 is: 618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.61 : 726.95 = 412.00 : x
  2. Step 2: Convert to fraction form
    484.61/726.95 = 412.00/x
  3. Step 3: Cross multiply
    484.61x = 726.95 × 412.00
  4. Step 4: Simplify right side
    484.61x = 299,502.48
  5. Step 5: Solve for x
    x = 299,502.48/484.61
  6. Step 6: Final answer
    x = 618.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.