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Finding the Fourth Proportional to 715.31, 1,071.58 and 406.23

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Solution

The fourth proportional to 715.31, 1,071.58 and 406.23 is: 608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.31 : 1,071.58 = 406.23 : x
  2. Step 2: Convert to fraction form
    715.31/1,071.58 = 406.23/x
  3. Step 3: Cross multiply
    715.31x = 1,071.58 × 406.23
  4. Step 4: Simplify right side
    715.31x = 435,307.94
  5. Step 5: Solve for x
    x = 435,307.94/715.31
  6. Step 6: Final answer
    x = 608.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.