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Finding the Fourth Proportional to 673.08, 928.44 and 424.20

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Solution

The fourth proportional to 673.08, 928.44 and 424.20 is: 585.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.08 : 928.44 = 424.20 : x
  2. Step 2: Convert to fraction form
    673.08/928.44 = 424.20/x
  3. Step 3: Cross multiply
    673.08x = 928.44 × 424.20
  4. Step 4: Simplify right side
    673.08x = 393,844.25
  5. Step 5: Solve for x
    x = 393,844.25/673.08
  6. Step 6: Final answer
    x = 585.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.