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Finding the Fourth Proportional to 444.30, 612.81 and 346.02

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Solution

The fourth proportional to 444.30, 612.81 and 346.02 is: 477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.30 : 612.81 = 346.02 : x
  2. Step 2: Convert to fraction form
    444.30/612.81 = 346.02/x
  3. Step 3: Cross multiply
    444.30x = 612.81 × 346.02
  4. Step 4: Simplify right side
    444.30x = 212,044.52
  5. Step 5: Solve for x
    x = 212,044.52/444.30
  6. Step 6: Final answer
    x = 477.26

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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.