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Finding the Fourth Proportional to 970.54, 1,455.82 and 277.20

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Solution

The fourth proportional to 970.54, 1,455.82 and 277.20 is: 415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.54 : 1,455.82 = 277.20 : x
  2. Step 2: Convert to fraction form
    970.54/1,455.82 = 277.20/x
  3. Step 3: Cross multiply
    970.54x = 1,455.82 × 277.20
  4. Step 4: Simplify right side
    970.54x = 403,552.61
  5. Step 5: Solve for x
    x = 403,552.61/970.54
  6. Step 6: Final answer
    x = 415.80

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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.