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Finding the Fourth Proportional to 973.76, 1,460.33 and 280.23

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Solution

The fourth proportional to 973.76, 1,460.33 and 280.23 is: 420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.76 : 1,460.33 = 280.23 : x
  2. Step 2: Convert to fraction form
    973.76/1,460.33 = 280.23/x
  3. Step 3: Cross multiply
    973.76x = 1,460.33 × 280.23
  4. Step 4: Simplify right side
    973.76x = 409,226.87
  5. Step 5: Solve for x
    x = 409,226.87/973.76
  6. Step 6: Final answer
    x = 420.26

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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.