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Finding the Fourth Proportional to 683.14, 942.34 and 434.02

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Solution

The fourth proportional to 683.14, 942.34 and 434.02 is: 598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.14 : 942.34 = 434.02 : x
  2. Step 2: Convert to fraction form
    683.14/942.34 = 434.02/x
  3. Step 3: Cross multiply
    683.14x = 942.34 × 434.02
  4. Step 4: Simplify right side
    683.14x = 408,994.41
  5. Step 5: Solve for x
    x = 408,994.41/683.14
  6. Step 6: Final answer
    x = 598.70

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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.