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Finding the Fourth Proportional to 535.70, 803.55 and 497.30

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Solution

The fourth proportional to 535.70, 803.55 and 497.30 is: 745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.70 : 803.55 = 497.30 : x
  2. Step 2: Convert to fraction form
    535.70/803.55 = 497.30/x
  3. Step 3: Cross multiply
    535.70x = 803.55 × 497.30
  4. Step 4: Simplify right side
    535.70x = 399,605.42
  5. Step 5: Solve for x
    x = 399,605.42/535.70
  6. Step 6: Final answer
    x = 745.95

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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.