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Finding the Fourth Proportional to 473.30, 708.80 and 352.34

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Solution

The fourth proportional to 473.30, 708.80 and 352.34 is: 527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.30 : 708.80 = 352.34 : x
  2. Step 2: Convert to fraction form
    473.30/708.80 = 352.34/x
  3. Step 3: Cross multiply
    473.30x = 708.80 × 352.34
  4. Step 4: Simplify right side
    473.30x = 249,733.29
  5. Step 5: Solve for x
    x = 249,733.29/473.30
  6. Step 6: Final answer
    x = 527.65

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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.