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Finding the Fourth Proportional to 457.64, 631.56 and 283.08

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Solution

The fourth proportional to 457.64, 631.56 and 283.08 is: 390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.64 : 631.56 = 283.08 : x
  2. Step 2: Convert to fraction form
    457.64/631.56 = 283.08/x
  3. Step 3: Cross multiply
    457.64x = 631.56 × 283.08
  4. Step 4: Simplify right side
    457.64x = 178,782.00
  5. Step 5: Solve for x
    x = 178,782.00/457.64
  6. Step 6: Final answer
    x = 390.66

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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.