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Finding the Fourth Proportional to 710.64, 980.64 and 400.14

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Solution

The fourth proportional to 710.64, 980.64 and 400.14 is: 552.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.64 : 980.64 = 400.14 : x
  2. Step 2: Convert to fraction form
    710.64/980.64 = 400.14/x
  3. Step 3: Cross multiply
    710.64x = 980.64 × 400.14
  4. Step 4: Simplify right side
    710.64x = 392,393.29
  5. Step 5: Solve for x
    x = 392,393.29/710.64
  6. Step 6: Final answer
    x = 552.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.