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Finding the Fourth Proportional to 970.05, 1,455.15 and 276.78

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Solution

The fourth proportional to 970.05, 1,455.15 and 276.78 is: 415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.05 : 1,455.15 = 276.78 : x
  2. Step 2: Convert to fraction form
    970.05/1,455.15 = 276.78/x
  3. Step 3: Cross multiply
    970.05x = 1,455.15 × 276.78
  4. Step 4: Simplify right side
    970.05x = 402,749.92
  5. Step 5: Solve for x
    x = 402,749.92/970.05
  6. Step 6: Final answer
    x = 415.18

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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.