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Finding the Fourth Proportional to 442.56, 660.58 and 390.66

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Solution

The fourth proportional to 442.56, 660.58 and 390.66 is: 583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.56 : 660.58 = 390.66 : x
  2. Step 2: Convert to fraction form
    442.56/660.58 = 390.66/x
  3. Step 3: Cross multiply
    442.56x = 660.58 × 390.66
  4. Step 4: Simplify right side
    442.56x = 258,062.18
  5. Step 5: Solve for x
    x = 258,062.18/442.56
  6. Step 6: Final answer
    x = 583.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.