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Finding the Fourth Proportional to 379.16, 565.40 and 353.20

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Solution

The fourth proportional to 379.16, 565.40 and 353.20 is: 526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.16 : 565.40 = 353.20 : x
  2. Step 2: Convert to fraction form
    379.16/565.40 = 353.20/x
  3. Step 3: Cross multiply
    379.16x = 565.40 × 353.20
  4. Step 4: Simplify right side
    379.16x = 199,699.28
  5. Step 5: Solve for x
    x = 199,699.28/379.16
  6. Step 6: Final answer
    x = 526.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.