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Finding the Fourth Proportional to 346.77, 478.61 and 319.10

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Solution

The fourth proportional to 346.77, 478.61 and 319.10 is: 440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.77 : 478.61 = 319.10 : x
  2. Step 2: Convert to fraction form
    346.77/478.61 = 319.10/x
  3. Step 3: Cross multiply
    346.77x = 478.61 × 319.10
  4. Step 4: Simplify right side
    346.77x = 152,722.86
  5. Step 5: Solve for x
    x = 152,722.86/346.77
  6. Step 6: Final answer
    x = 440.42

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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.