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Finding the Fourth Proportional to 457.36, 632.04 and 346.64

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Solution

The fourth proportional to 457.36, 632.04 and 346.64 is: 479.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.36 : 632.04 = 346.64 : x
  2. Step 2: Convert to fraction form
    457.36/632.04 = 346.64/x
  3. Step 3: Cross multiply
    457.36x = 632.04 × 346.64
  4. Step 4: Simplify right side
    457.36x = 219,090.35
  5. Step 5: Solve for x
    x = 219,090.35/457.36
  6. Step 6: Final answer
    x = 479.03

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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.