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Finding the Fourth Proportional to 370.86, 511.98 and 346.32

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Solution

The fourth proportional to 370.86, 511.98 and 346.32 is: 478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.86 : 511.98 = 346.32 : x
  2. Step 2: Convert to fraction form
    370.86/511.98 = 346.32/x
  3. Step 3: Cross multiply
    370.86x = 511.98 × 346.32
  4. Step 4: Simplify right side
    370.86x = 177,308.91
  5. Step 5: Solve for x
    x = 177,308.91/370.86
  6. Step 6: Final answer
    x = 478.10

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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.