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Finding the Fourth Proportional to 633.93, 946.98 and 535.97

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Solution

The fourth proportional to 633.93, 946.98 and 535.97 is: 800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.93 : 946.98 = 535.97 : x
  2. Step 2: Convert to fraction form
    633.93/946.98 = 535.97/x
  3. Step 3: Cross multiply
    633.93x = 946.98 × 535.97
  4. Step 4: Simplify right side
    633.93x = 507,549.16
  5. Step 5: Solve for x
    x = 507,549.16/633.93
  6. Step 6: Final answer
    x = 800.64

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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.