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Finding the Fourth Proportional to 483.61, 666.94 and 317.76

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Solution

The fourth proportional to 483.61, 666.94 and 317.76 is: 438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.61 : 666.94 = 317.76 : x
  2. Step 2: Convert to fraction form
    483.61/666.94 = 317.76/x
  3. Step 3: Cross multiply
    483.61x = 666.94 × 317.76
  4. Step 4: Simplify right side
    483.61x = 211,926.06
  5. Step 5: Solve for x
    x = 211,926.06/483.61
  6. Step 6: Final answer
    x = 438.22

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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.