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Finding the Fourth Proportional to 710.32, 980.34 and 430.66

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Solution

The fourth proportional to 710.32, 980.34 and 430.66 is: 594.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.32 : 980.34 = 430.66 : x
  2. Step 2: Convert to fraction form
    710.32/980.34 = 430.66/x
  3. Step 3: Cross multiply
    710.32x = 980.34 × 430.66
  4. Step 4: Simplify right side
    710.32x = 422,193.22
  5. Step 5: Solve for x
    x = 422,193.22/710.32
  6. Step 6: Final answer
    x = 594.37

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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.