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Finding the Fourth Proportional to 973.02, 1,459.53 and 279.70

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Solution

The fourth proportional to 973.02, 1,459.53 and 279.70 is: 419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.02 : 1,459.53 = 279.70 : x
  2. Step 2: Convert to fraction form
    973.02/1,459.53 = 279.70/x
  3. Step 3: Cross multiply
    973.02x = 1,459.53 × 279.70
  4. Step 4: Simplify right side
    973.02x = 408,230.54
  5. Step 5: Solve for x
    x = 408,230.54/973.02
  6. Step 6: Final answer
    x = 419.55

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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.