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Finding the Fourth Proportional to 710.38, 980.32 and 415.90

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Solution

The fourth proportional to 710.38, 980.32 and 415.90 is: 573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.38 : 980.32 = 415.90 : x
  2. Step 2: Convert to fraction form
    710.38/980.32 = 415.90/x
  3. Step 3: Cross multiply
    710.38x = 980.32 × 415.90
  4. Step 4: Simplify right side
    710.38x = 407,710.19
  5. Step 5: Solve for x
    x = 407,710.19/710.38
  6. Step 6: Final answer
    x = 573.94

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1.5x scale

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.