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Finding the Fourth Proportional to 576.16, 795.12 and 314.19

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Solution

The fourth proportional to 576.16, 795.12 and 314.19 is: 433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.16 : 795.12 = 314.19 : x
  2. Step 2: Convert to fraction form
    576.16/795.12 = 314.19/x
  3. Step 3: Cross multiply
    576.16x = 795.12 × 314.19
  4. Step 4: Simplify right side
    576.16x = 249,818.75
  5. Step 5: Solve for x
    x = 249,818.75/576.16
  6. Step 6: Final answer
    x = 433.59

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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.