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Finding the Fourth Proportional to 696.03, 960.53 and 430.61

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Solution

The fourth proportional to 696.03, 960.53 and 430.61 is: 594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.03 : 960.53 = 430.61 : x
  2. Step 2: Convert to fraction form
    696.03/960.53 = 430.61/x
  3. Step 3: Cross multiply
    696.03x = 960.53 × 430.61
  4. Step 4: Simplify right side
    696.03x = 413,606.87
  5. Step 5: Solve for x
    x = 413,606.87/696.03
  6. Step 6: Final answer
    x = 594.24

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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.