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Finding the Fourth Proportional to 858.76, 1,288.02 and 365.23

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Solution

The fourth proportional to 858.76, 1,288.02 and 365.23 is: 547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.76 : 1,288.02 = 365.23 : x
  2. Step 2: Convert to fraction form
    858.76/1,288.02 = 365.23/x
  3. Step 3: Cross multiply
    858.76x = 1,288.02 × 365.23
  4. Step 4: Simplify right side
    858.76x = 470,420.32
  5. Step 5: Solve for x
    x = 470,420.32/858.76
  6. Step 6: Final answer
    x = 547.79

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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.