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Finding the Fourth Proportional to 709.63, 979.33 and 410.93

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Solution

The fourth proportional to 709.63, 979.33 and 410.93 is: 567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.63 : 979.33 = 410.93 : x
  2. Step 2: Convert to fraction form
    709.63/979.33 = 410.93/x
  3. Step 3: Cross multiply
    709.63x = 979.33 × 410.93
  4. Step 4: Simplify right side
    709.63x = 402,431.18
  5. Step 5: Solve for x
    x = 402,431.18/709.63
  6. Step 6: Final answer
    x = 567.10

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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.