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Finding the Fourth Proportional to 970.41, 1,455.72 and 277.08

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Solution

The fourth proportional to 970.41, 1,455.72 and 277.08 is: 415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.41 : 1,455.72 = 277.08 : x
  2. Step 2: Convert to fraction form
    970.41/1,455.72 = 277.08/x
  3. Step 3: Cross multiply
    970.41x = 1,455.72 × 277.08
  4. Step 4: Simplify right side
    970.41x = 403,350.90
  5. Step 5: Solve for x
    x = 403,350.90/970.41
  6. Step 6: Final answer
    x = 415.65

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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.