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Finding the Fourth Proportional to 542.35, 811.50 and 433

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Solution

The fourth proportional to 542.35, 811.50 and 433 is: 647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.35 : 811.50 = 433 : x
  2. Step 2: Convert to fraction form
    542.35/811.50 = 433/x
  3. Step 3: Cross multiply
    542.35x = 811.50 × 433
  4. Step 4: Simplify right side
    542.35x = 351,379.50
  5. Step 5: Solve for x
    x = 351,379.50/542.35
  6. Step 6: Final answer
    x = 647.88

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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.