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Finding the Fourth Proportional to 346.19, 478.10 and 341.65

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Solution

The fourth proportional to 346.19, 478.10 and 341.65 is: 471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.19 : 478.10 = 341.65 : x
  2. Step 2: Convert to fraction form
    346.19/478.10 = 341.65/x
  3. Step 3: Cross multiply
    346.19x = 478.10 × 341.65
  4. Step 4: Simplify right side
    346.19x = 163,338.77
  5. Step 5: Solve for x
    x = 163,338.77/346.19
  6. Step 6: Final answer
    x = 471.82

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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.