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Finding the Fourth Proportional to 710.23, 980.21 and 430.69

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Solution

The fourth proportional to 710.23, 980.21 and 430.69 is: 594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.23 : 980.21 = 430.69 : x
  2. Step 2: Convert to fraction form
    710.23/980.21 = 430.69/x
  3. Step 3: Cross multiply
    710.23x = 980.21 × 430.69
  4. Step 4: Simplify right side
    710.23x = 422,166.64
  5. Step 5: Solve for x
    x = 422,166.64/710.23
  6. Step 6: Final answer
    x = 594.41

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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.