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Finding the Fourth Proportional to 507.84, 761.98 and 302.52

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Solution

The fourth proportional to 507.84, 761.98 and 302.52 is: 453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.84 : 761.98 = 302.52 : x
  2. Step 2: Convert to fraction form
    507.84/761.98 = 302.52/x
  3. Step 3: Cross multiply
    507.84x = 761.98 × 302.52
  4. Step 4: Simplify right side
    507.84x = 230,514.19
  5. Step 5: Solve for x
    x = 230,514.19/507.84
  6. Step 6: Final answer
    x = 453.91

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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.