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Finding the Fourth Proportional to 467.52, 644.76 and 312

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Solution

The fourth proportional to 467.52, 644.76 and 312 is: 430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.52 : 644.76 = 312 : x
  2. Step 2: Convert to fraction form
    467.52/644.76 = 312/x
  3. Step 3: Cross multiply
    467.52x = 644.76 × 312
  4. Step 4: Simplify right side
    467.52x = 201,165.12
  5. Step 5: Solve for x
    x = 201,165.12/467.52
  6. Step 6: Final answer
    x = 430.28

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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.