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Finding the Fourth Proportional to 710.39, 980.35 and 395.67

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Solution

The fourth proportional to 710.39, 980.35 and 395.67 is: 546.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.39 : 980.35 = 395.67 : x
  2. Step 2: Convert to fraction form
    710.39/980.35 = 395.67/x
  3. Step 3: Cross multiply
    710.39x = 980.35 × 395.67
  4. Step 4: Simplify right side
    710.39x = 387,894.10
  5. Step 5: Solve for x
    x = 387,894.10/710.39
  6. Step 6: Final answer
    x = 546.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.