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Finding the Fourth Proportional to 507.51, 761.85 and 302.18

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Solution

The fourth proportional to 507.51, 761.85 and 302.18 is: 453.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.51 : 761.85 = 302.18 : x
  2. Step 2: Convert to fraction form
    507.51/761.85 = 302.18/x
  3. Step 3: Cross multiply
    507.51x = 761.85 × 302.18
  4. Step 4: Simplify right side
    507.51x = 230,212.02
  5. Step 5: Solve for x
    x = 230,212.02/507.51
  6. Step 6: Final answer
    x = 453.61

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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.