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Finding the Fourth Proportional to 390.64, 542.32 and 378.76

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Solution

The fourth proportional to 390.64, 542.32 and 378.76 is: 525.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.64 : 542.32 = 378.76 : x
  2. Step 2: Convert to fraction form
    390.64/542.32 = 378.76/x
  3. Step 3: Cross multiply
    390.64x = 542.32 × 378.76
  4. Step 4: Simplify right side
    390.64x = 205,409.12
  5. Step 5: Solve for x
    x = 205,409.12/390.64
  6. Step 6: Final answer
    x = 525.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.