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Finding the Fourth Proportional to 262.32, 390.50 and 260.70

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Solution

The fourth proportional to 262.32, 390.50 and 260.70 is: 388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.32 : 390.50 = 260.70 : x
  2. Step 2: Convert to fraction form
    262.32/390.50 = 260.70/x
  3. Step 3: Cross multiply
    262.32x = 390.50 × 260.70
  4. Step 4: Simplify right side
    262.32x = 101,802.05
  5. Step 5: Solve for x
    x = 101,802.05/262.32
  6. Step 6: Final answer
    x = 388.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.