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Finding the Fourth Proportional to 532.16, 797.53 and 394.09

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Solution

The fourth proportional to 532.16, 797.53 and 394.09 is: 590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.16 : 797.53 = 394.09 : x
  2. Step 2: Convert to fraction form
    532.16/797.53 = 394.09/x
  3. Step 3: Cross multiply
    532.16x = 797.53 × 394.09
  4. Step 4: Simplify right side
    532.16x = 314,298.60
  5. Step 5: Solve for x
    x = 314,298.60/532.16
  6. Step 6: Final answer
    x = 590.61

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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.