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Finding the Fourth Proportional to 560.03, 839.66 and 299.87

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Solution

The fourth proportional to 560.03, 839.66 and 299.87 is: 449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.03 : 839.66 = 299.87 : x
  2. Step 2: Convert to fraction form
    560.03/839.66 = 299.87/x
  3. Step 3: Cross multiply
    560.03x = 839.66 × 299.87
  4. Step 4: Simplify right side
    560.03x = 251,783.15
  5. Step 5: Solve for x
    x = 251,783.15/560.03
  6. Step 6: Final answer
    x = 449.59

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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.