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Finding the Fourth Proportional to 457.36, 631.80 and 364.72

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Solution

The fourth proportional to 457.36, 631.80 and 364.72 is: 503.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.36 : 631.80 = 364.72 : x
  2. Step 2: Convert to fraction form
    457.36/631.80 = 364.72/x
  3. Step 3: Cross multiply
    457.36x = 631.80 × 364.72
  4. Step 4: Simplify right side
    457.36x = 230,430.10
  5. Step 5: Solve for x
    x = 230,430.10/457.36
  6. Step 6: Final answer
    x = 503.83

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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.