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Finding the Fourth Proportional to 483.32, 666.70 and 299

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Solution

The fourth proportional to 483.32, 666.70 and 299 is: 412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.32 : 666.70 = 299 : x
  2. Step 2: Convert to fraction form
    483.32/666.70 = 299/x
  3. Step 3: Cross multiply
    483.32x = 666.70 × 299
  4. Step 4: Simplify right side
    483.32x = 199,343.30
  5. Step 5: Solve for x
    x = 199,343.30/483.32
  6. Step 6: Final answer
    x = 412.45

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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.