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Finding the Fourth Proportional to 551.60, 761.23 and 302.94

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Solution

The fourth proportional to 551.60, 761.23 and 302.94 is: 418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.60 : 761.23 = 302.94 : x
  2. Step 2: Convert to fraction form
    551.60/761.23 = 302.94/x
  3. Step 3: Cross multiply
    551.60x = 761.23 × 302.94
  4. Step 4: Simplify right side
    551.60x = 230,607.02
  5. Step 5: Solve for x
    x = 230,607.02/551.60
  6. Step 6: Final answer
    x = 418.07

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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.