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Finding the Fourth Proportional to 970.73, 1,456.32 and 277.40

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Solution

The fourth proportional to 970.73, 1,456.32 and 277.40 is: 416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.73 : 1,456.32 = 277.40 : x
  2. Step 2: Convert to fraction form
    970.73/1,456.32 = 277.40/x
  3. Step 3: Cross multiply
    970.73x = 1,456.32 × 277.40
  4. Step 4: Simplify right side
    970.73x = 403,985.42
  5. Step 5: Solve for x
    x = 403,985.42/970.73
  6. Step 6: Final answer
    x = 416.17

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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.