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Finding the Fourth Proportional to 457.31, 631.20 and 383.51

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Solution

The fourth proportional to 457.31, 631.20 and 383.51 is: 529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.31 : 631.20 = 383.51 : x
  2. Step 2: Convert to fraction form
    457.31/631.20 = 383.51/x
  3. Step 3: Cross multiply
    457.31x = 631.20 × 383.51
  4. Step 4: Simplify right side
    457.31x = 242,071.51
  5. Step 5: Solve for x
    x = 242,071.51/457.31
  6. Step 6: Final answer
    x = 529.34

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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.