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Finding the Fourth Proportional to 440.84, 607.28 and 342.42

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Solution

The fourth proportional to 440.84, 607.28 and 342.42 is: 471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.84 : 607.28 = 342.42 : x
  2. Step 2: Convert to fraction form
    440.84/607.28 = 342.42/x
  3. Step 3: Cross multiply
    440.84x = 607.28 × 342.42
  4. Step 4: Simplify right side
    440.84x = 207,944.82
  5. Step 5: Solve for x
    x = 207,944.82/440.84
  6. Step 6: Final answer
    x = 471.70

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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.