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Finding the Fourth Proportional to 710.16, 979.72 and 430.44

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Solution

The fourth proportional to 710.16, 979.72 and 430.44 is: 593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.16 : 979.72 = 430.44 : x
  2. Step 2: Convert to fraction form
    710.16/979.72 = 430.44/x
  3. Step 3: Cross multiply
    710.16x = 979.72 × 430.44
  4. Step 4: Simplify right side
    710.16x = 421,710.68
  5. Step 5: Solve for x
    x = 421,710.68/710.16
  6. Step 6: Final answer
    x = 593.82

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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.