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Finding the Fourth Proportional to 501.02, 691.46 and 304.52

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Solution

The fourth proportional to 501.02, 691.46 and 304.52 is: 420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.02 : 691.46 = 304.52 : x
  2. Step 2: Convert to fraction form
    501.02/691.46 = 304.52/x
  3. Step 3: Cross multiply
    501.02x = 691.46 × 304.52
  4. Step 4: Simplify right side
    501.02x = 210,563.40
  5. Step 5: Solve for x
    x = 210,563.40/501.02
  6. Step 6: Final answer
    x = 420.27

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Why These Related Problems?

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