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Finding the Fourth Proportional to 619.68, 856.08 and 542.88

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Solution

The fourth proportional to 619.68, 856.08 and 542.88 is: 749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.68 : 856.08 = 542.88 : x
  2. Step 2: Convert to fraction form
    619.68/856.08 = 542.88/x
  3. Step 3: Cross multiply
    619.68x = 856.08 × 542.88
  4. Step 4: Simplify right side
    619.68x = 464,748.71
  5. Step 5: Solve for x
    x = 464,748.71/619.68
  6. Step 6: Final answer
    x = 749.98

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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.