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Finding the Fourth Proportional to 580.41, 800.19 and 497.16

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Solution

The fourth proportional to 580.41, 800.19 and 497.16 is: 685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.41 : 800.19 = 497.16 : x
  2. Step 2: Convert to fraction form
    580.41/800.19 = 497.16/x
  3. Step 3: Cross multiply
    580.41x = 800.19 × 497.16
  4. Step 4: Simplify right side
    580.41x = 397,822.46
  5. Step 5: Solve for x
    x = 397,822.46/580.41
  6. Step 6: Final answer
    x = 685.42

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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.