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Finding the Fourth Proportional to 710.08, 979.93 and 415.34

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Solution

The fourth proportional to 710.08, 979.93 and 415.34 is: 573.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.08 : 979.93 = 415.34 : x
  2. Step 2: Convert to fraction form
    710.08/979.93 = 415.34/x
  3. Step 3: Cross multiply
    710.08x = 979.93 × 415.34
  4. Step 4: Simplify right side
    710.08x = 407,003.42
  5. Step 5: Solve for x
    x = 407,003.42/710.08
  6. Step 6: Final answer
    x = 573.18

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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.