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Finding the Fourth Proportional to 507.40, 760.87 and 215.03

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Solution

The fourth proportional to 507.40, 760.87 and 215.03 is: 322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.40 : 760.87 = 215.03 : x
  2. Step 2: Convert to fraction form
    507.40/760.87 = 215.03/x
  3. Step 3: Cross multiply
    507.40x = 760.87 × 215.03
  4. Step 4: Simplify right side
    507.40x = 163,612.05
  5. Step 5: Solve for x
    x = 163,612.05/507.40
  6. Step 6: Final answer
    x = 322.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.