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Finding the Fourth Proportional to 707.28, 975.74 and 474.48

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Solution

The fourth proportional to 707.28, 975.74 and 474.48 is: 654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.28 : 975.74 = 474.48 : x
  2. Step 2: Convert to fraction form
    707.28/975.74 = 474.48/x
  3. Step 3: Cross multiply
    707.28x = 975.74 × 474.48
  4. Step 4: Simplify right side
    707.28x = 462,969.12
  5. Step 5: Solve for x
    x = 462,969.12/707.28
  6. Step 6: Final answer
    x = 654.58

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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.