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Finding the Fourth Proportional to 535.68, 740.16 and 443.52

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Solution

The fourth proportional to 535.68, 740.16 and 443.52 is: 612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.68 : 740.16 = 443.52 : x
  2. Step 2: Convert to fraction form
    535.68/740.16 = 443.52/x
  3. Step 3: Cross multiply
    535.68x = 740.16 × 443.52
  4. Step 4: Simplify right side
    535.68x = 328,275.76
  5. Step 5: Solve for x
    x = 328,275.76/535.68
  6. Step 6: Final answer
    x = 612.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.