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Finding the Fourth Proportional to 457.46, 630.99 and 364.07

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Solution

The fourth proportional to 457.46, 630.99 and 364.07 is: 502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.46 : 630.99 = 364.07 : x
  2. Step 2: Convert to fraction form
    457.46/630.99 = 364.07/x
  3. Step 3: Cross multiply
    457.46x = 630.99 × 364.07
  4. Step 4: Simplify right side
    457.46x = 229,721.37
  5. Step 5: Solve for x
    x = 229,721.37/457.46
  6. Step 6: Final answer
    x = 502.17

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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.