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Finding the Fourth Proportional to 465.39, 698.21 and 260.10

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Solution

The fourth proportional to 465.39, 698.21 and 260.10 is: 390.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.39 : 698.21 = 260.10 : x
  2. Step 2: Convert to fraction form
    465.39/698.21 = 260.10/x
  3. Step 3: Cross multiply
    465.39x = 698.21 × 260.10
  4. Step 4: Simplify right side
    465.39x = 181,606.71
  5. Step 5: Solve for x
    x = 181,606.71/465.39
  6. Step 6: Final answer
    x = 390.22

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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.