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Finding the Fourth Proportional to 532.11, 798.16 and 315.57

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Solution

The fourth proportional to 532.11, 798.16 and 315.57 is: 473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.11 : 798.16 = 315.57 : x
  2. Step 2: Convert to fraction form
    532.11/798.16 = 315.57/x
  3. Step 3: Cross multiply
    532.11x = 798.16 × 315.57
  4. Step 4: Simplify right side
    532.11x = 251,870.57
  5. Step 5: Solve for x
    x = 251,870.57/532.11
  6. Step 6: Final answer
    x = 473.35

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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.