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Finding the Fourth Proportional to 683.36, 942.88 and 462.40

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Solution

The fourth proportional to 683.36, 942.88 and 462.40 is: 638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.36 : 942.88 = 462.40 : x
  2. Step 2: Convert to fraction form
    683.36/942.88 = 462.40/x
  3. Step 3: Cross multiply
    683.36x = 942.88 × 462.40
  4. Step 4: Simplify right side
    683.36x = 435,987.71
  5. Step 5: Solve for x
    x = 435,987.71/683.36
  6. Step 6: Final answer
    x = 638.01

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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.