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Finding the Fourth Proportional to 560.69, 840.33 and 300.04

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Solution

The fourth proportional to 560.69, 840.33 and 300.04 is: 449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.69 : 840.33 = 300.04 : x
  2. Step 2: Convert to fraction form
    560.69/840.33 = 300.04/x
  3. Step 3: Cross multiply
    560.69x = 840.33 × 300.04
  4. Step 4: Simplify right side
    560.69x = 252,133.96
  5. Step 5: Solve for x
    x = 252,133.96/560.69
  6. Step 6: Final answer
    x = 449.69

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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.