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Finding the Fourth Proportional to 295.34, 440.81 and 260.74

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Solution

The fourth proportional to 295.34, 440.81 and 260.74 is: 389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.34 : 440.81 = 260.74 : x
  2. Step 2: Convert to fraction form
    295.34/440.81 = 260.74/x
  3. Step 3: Cross multiply
    295.34x = 440.81 × 260.74
  4. Step 4: Simplify right side
    295.34x = 114,936.35
  5. Step 5: Solve for x
    x = 114,936.35/295.34
  6. Step 6: Final answer
    x = 389.17

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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.