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Finding the Fourth Proportional to 488.01, 673.47 and 291.50

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Solution

The fourth proportional to 488.01, 673.47 and 291.50 is: 402.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.01 : 673.47 = 291.50 : x
  2. Step 2: Convert to fraction form
    488.01/673.47 = 291.50/x
  3. Step 3: Cross multiply
    488.01x = 673.47 × 291.50
  4. Step 4: Simplify right side
    488.01x = 196,316.51
  5. Step 5: Solve for x
    x = 196,316.51/488.01
  6. Step 6: Final answer
    x = 402.28

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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.