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Finding the Fourth Proportional to 707, 975.66 and 396.50

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Solution

The fourth proportional to 707, 975.66 and 396.50 is: 547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    707 : 975.66 = 396.50 : x
  2. Step 2: Convert to fraction form
    707/975.66 = 396.50/x
  3. Step 3: Cross multiply
    707x = 975.66 × 396.50
  4. Step 4: Simplify right side
    707x = 386,849.19
  5. Step 5: Solve for x
    x = 386,849.19/707
  6. Step 6: Final answer
    x = 547.17

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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.