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Finding the Fourth Proportional to 487.64, 672.98 and 313.36

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Solution

The fourth proportional to 487.64, 672.98 and 313.36 is: 432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.64 : 672.98 = 313.36 : x
  2. Step 2: Convert to fraction form
    487.64/672.98 = 313.36/x
  3. Step 3: Cross multiply
    487.64x = 672.98 × 313.36
  4. Step 4: Simplify right side
    487.64x = 210,885.01
  5. Step 5: Solve for x
    x = 210,885.01/487.64
  6. Step 6: Final answer
    x = 432.46

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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.