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Finding the Fourth Proportional to 973.15, 1,459.78 and 279.81

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Solution

The fourth proportional to 973.15, 1,459.78 and 279.81 is: 419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.15 : 1,459.78 = 279.81 : x
  2. Step 2: Convert to fraction form
    973.15/1,459.78 = 279.81/x
  3. Step 3: Cross multiply
    973.15x = 1,459.78 × 279.81
  4. Step 4: Simplify right side
    973.15x = 408,460.34
  5. Step 5: Solve for x
    x = 408,460.34/973.15
  6. Step 6: Final answer
    x = 419.73

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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.