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Finding the Fourth Proportional to 973.10, 1,459.89 and 279.77

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Solution

The fourth proportional to 973.10, 1,459.89 and 279.77 is: 419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.10 : 1,459.89 = 279.77 : x
  2. Step 2: Convert to fraction form
    973.10/1,459.89 = 279.77/x
  3. Step 3: Cross multiply
    973.10x = 1,459.89 × 279.77
  4. Step 4: Simplify right side
    973.10x = 408,426.80
  5. Step 5: Solve for x
    x = 408,426.80/973.10
  6. Step 6: Final answer
    x = 419.72

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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.