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Finding the Fourth Proportional to 507.26, 700.16 and 297.50

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Solution

The fourth proportional to 507.26, 700.16 and 297.50 is: 410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.26 : 700.16 = 297.50 : x
  2. Step 2: Convert to fraction form
    507.26/700.16 = 297.50/x
  3. Step 3: Cross multiply
    507.26x = 700.16 × 297.50
  4. Step 4: Simplify right side
    507.26x = 208,297.60
  5. Step 5: Solve for x
    x = 208,297.60/507.26
  6. Step 6: Final answer
    x = 410.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.