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Finding the Fourth Proportional to 532.34, 794.44 and 466.16

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Solution

The fourth proportional to 532.34, 794.44 and 466.16 is: 695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.34 : 794.44 = 466.16 : x
  2. Step 2: Convert to fraction form
    532.34/794.44 = 466.16/x
  3. Step 3: Cross multiply
    532.34x = 794.44 × 466.16
  4. Step 4: Simplify right side
    532.34x = 370,336.15
  5. Step 5: Solve for x
    x = 370,336.15/532.34
  6. Step 6: Final answer
    x = 695.68

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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.