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Finding the Fourth Proportional to 507.78, 761.78 and 302.10

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Solution

The fourth proportional to 507.78, 761.78 and 302.10 is: 453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.78 : 761.78 = 302.10 : x
  2. Step 2: Convert to fraction form
    507.78/761.78 = 302.10/x
  3. Step 3: Cross multiply
    507.78x = 761.78 × 302.10
  4. Step 4: Simplify right side
    507.78x = 230,133.74
  5. Step 5: Solve for x
    x = 230,133.74/507.78
  6. Step 6: Final answer
    x = 453.22

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Why These Related Problems?

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