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Finding the Fourth Proportional to 673.26, 928.70 and 507.40

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Solution

The fourth proportional to 673.26, 928.70 and 507.40 is: 699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.26 : 928.70 = 507.40 : x
  2. Step 2: Convert to fraction form
    673.26/928.70 = 507.40/x
  3. Step 3: Cross multiply
    673.26x = 928.70 × 507.40
  4. Step 4: Simplify right side
    673.26x = 471,222.38
  5. Step 5: Solve for x
    x = 471,222.38/673.26
  6. Step 6: Final answer
    x = 699.91

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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.