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Finding the Fourth Proportional to 487, 730.86 and 230.50

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Solution

The fourth proportional to 487, 730.86 and 230.50 is: 345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    487 : 730.86 = 230.50 : x
  2. Step 2: Convert to fraction form
    487/730.86 = 230.50/x
  3. Step 3: Cross multiply
    487x = 730.86 × 230.50
  4. Step 4: Simplify right side
    487x = 168,463.23
  5. Step 5: Solve for x
    x = 168,463.23/487
  6. Step 6: Final answer
    x = 345.92

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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.