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Finding the Fourth Proportional to 973.78, 1,460.66 and 280.46

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Solution

The fourth proportional to 973.78, 1,460.66 and 280.46 is: 420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.78 : 1,460.66 = 280.46 : x
  2. Step 2: Convert to fraction form
    973.78/1,460.66 = 280.46/x
  3. Step 3: Cross multiply
    973.78x = 1,460.66 × 280.46
  4. Step 4: Simplify right side
    973.78x = 409,656.70
  5. Step 5: Solve for x
    x = 409,656.70/973.78
  6. Step 6: Final answer
    x = 420.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.