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Finding the Fourth Proportional to 456.93, 630.57 and 260.43

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Solution

The fourth proportional to 456.93, 630.57 and 260.43 is: 359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.93 : 630.57 = 260.43 : x
  2. Step 2: Convert to fraction form
    456.93/630.57 = 260.43/x
  3. Step 3: Cross multiply
    456.93x = 630.57 × 260.43
  4. Step 4: Simplify right side
    456.93x = 164,219.35
  5. Step 5: Solve for x
    x = 164,219.35/456.93
  6. Step 6: Final answer
    x = 359.40

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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.