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Finding the Fourth Proportional to 673.67, 929.64 and 374.93

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Solution

The fourth proportional to 673.67, 929.64 and 374.93 is: 517.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.67 : 929.64 = 374.93 : x
  2. Step 2: Convert to fraction form
    673.67/929.64 = 374.93/x
  3. Step 3: Cross multiply
    673.67x = 929.64 × 374.93
  4. Step 4: Simplify right side
    673.67x = 348,549.93
  5. Step 5: Solve for x
    x = 348,549.93/673.67
  6. Step 6: Final answer
    x = 517.39

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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.