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Finding the Fourth Proportional to 423.06, 583.69 and 265.62

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Solution

The fourth proportional to 423.06, 583.69 and 265.62 is: 366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.06 : 583.69 = 265.62 : x
  2. Step 2: Convert to fraction form
    423.06/583.69 = 265.62/x
  3. Step 3: Cross multiply
    423.06x = 583.69 × 265.62
  4. Step 4: Simplify right side
    423.06x = 155,039.74
  5. Step 5: Solve for x
    x = 155,039.74/423.06
  6. Step 6: Final answer
    x = 366.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.