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Finding the Fourth Proportional to 507.24, 700.09 and 297.53

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Solution

The fourth proportional to 507.24, 700.09 and 297.53 is: 410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.24 : 700.09 = 297.53 : x
  2. Step 2: Convert to fraction form
    507.24/700.09 = 297.53/x
  3. Step 3: Cross multiply
    507.24x = 700.09 × 297.53
  4. Step 4: Simplify right side
    507.24x = 208,293.53
  5. Step 5: Solve for x
    x = 208,293.53/507.24
  6. Step 6: Final answer
    x = 410.64

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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.