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Finding the Fourth Proportional to 551.59, 761.16 and 302.89

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Solution

The fourth proportional to 551.59, 761.16 and 302.89 is: 417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.59 : 761.16 = 302.89 : x
  2. Step 2: Convert to fraction form
    551.59/761.16 = 302.89/x
  3. Step 3: Cross multiply
    551.59x = 761.16 × 302.89
  4. Step 4: Simplify right side
    551.59x = 230,548.41
  5. Step 5: Solve for x
    x = 230,548.41/551.59
  6. Step 6: Final answer
    x = 417.97

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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.