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Finding the Fourth Proportional to 673.26, 926.88 and 507.18

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Solution

The fourth proportional to 673.26, 926.88 and 507.18 is: 698.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.26 : 926.88 = 507.18 : x
  2. Step 2: Convert to fraction form
    673.26/926.88 = 507.18/x
  3. Step 3: Cross multiply
    673.26x = 926.88 × 507.18
  4. Step 4: Simplify right side
    673.26x = 470,095.00
  5. Step 5: Solve for x
    x = 470,095.00/673.26
  6. Step 6: Final answer
    x = 698.24

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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.