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Finding the Fourth Proportional to 673.25, 929.37 and 507.50

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Solution

The fourth proportional to 673.25, 929.37 and 507.50 is: 700.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.25 : 929.37 = 507.50 : x
  2. Step 2: Convert to fraction form
    673.25/929.37 = 507.50/x
  3. Step 3: Cross multiply
    673.25x = 929.37 × 507.50
  4. Step 4: Simplify right side
    673.25x = 471,650.63
  5. Step 5: Solve for x
    x = 471,650.63/673.25
  6. Step 6: Final answer
    x = 700.56

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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.