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Finding the Fourth Proportional to 444.16, 612.80 and 260.16

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Solution

The fourth proportional to 444.16, 612.80 and 260.16 is: 358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.16 : 612.80 = 260.16 : x
  2. Step 2: Convert to fraction form
    444.16/612.80 = 260.16/x
  3. Step 3: Cross multiply
    444.16x = 612.80 × 260.16
  4. Step 4: Simplify right side
    444.16x = 159,426.05
  5. Step 5: Solve for x
    x = 159,426.05/444.16
  6. Step 6: Final answer
    x = 358.94

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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.