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Finding the Fourth Proportional to 970.38, 1,455.63 and 277.05

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Solution

The fourth proportional to 970.38, 1,455.63 and 277.05 is: 415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.38 : 1,455.63 = 277.05 : x
  2. Step 2: Convert to fraction form
    970.38/1,455.63 = 277.05/x
  3. Step 3: Cross multiply
    970.38x = 1,455.63 × 277.05
  4. Step 4: Simplify right side
    970.38x = 403,282.29
  5. Step 5: Solve for x
    x = 403,282.29/970.38
  6. Step 6: Final answer
    x = 415.59

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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.