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Finding the Fourth Proportional to 473.32, 708.42 and 351.82

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Solution

The fourth proportional to 473.32, 708.42 and 351.82 is: 526.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.32 : 708.42 = 351.82 : x
  2. Step 2: Convert to fraction form
    473.32/708.42 = 351.82/x
  3. Step 3: Cross multiply
    473.32x = 708.42 × 351.82
  4. Step 4: Simplify right side
    473.32x = 249,236.32
  5. Step 5: Solve for x
    x = 249,236.32/473.32
  6. Step 6: Final answer
    x = 526.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.