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Finding the Fourth Proportional to 457.70, 631.63 and 258.51

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Solution

The fourth proportional to 457.70, 631.63 and 258.51 is: 356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.70 : 631.63 = 258.51 : x
  2. Step 2: Convert to fraction form
    457.70/631.63 = 258.51/x
  3. Step 3: Cross multiply
    457.70x = 631.63 × 258.51
  4. Step 4: Simplify right side
    457.70x = 163,282.99
  5. Step 5: Solve for x
    x = 163,282.99/457.70
  6. Step 6: Final answer
    x = 356.75

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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.