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Finding the Fourth Proportional to 543.85, 749.99 and 357.50

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Solution

The fourth proportional to 543.85, 749.99 and 357.50 is: 493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.85 : 749.99 = 357.50 : x
  2. Step 2: Convert to fraction form
    543.85/749.99 = 357.50/x
  3. Step 3: Cross multiply
    543.85x = 749.99 × 357.50
  4. Step 4: Simplify right side
    543.85x = 268,115.89
  5. Step 5: Solve for x
    x = 268,115.89/543.85
  6. Step 6: Final answer
    x = 493.00

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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.