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Finding the Fourth Proportional to 457.78, 631.74 and 258.64

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Solution

The fourth proportional to 457.78, 631.74 and 258.64 is: 356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.78 : 631.74 = 258.64 : x
  2. Step 2: Convert to fraction form
    457.78/631.74 = 258.64/x
  3. Step 3: Cross multiply
    457.78x = 631.74 × 258.64
  4. Step 4: Simplify right side
    457.78x = 163,393.23
  5. Step 5: Solve for x
    x = 163,393.23/457.78
  6. Step 6: Final answer
    x = 356.93

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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.