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Finding the Fourth Proportional to 551.49, 760.32 and 403.98

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Solution

The fourth proportional to 551.49, 760.32 and 403.98 is: 556.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.49 : 760.32 = 403.98 : x
  2. Step 2: Convert to fraction form
    551.49/760.32 = 403.98/x
  3. Step 3: Cross multiply
    551.49x = 760.32 × 403.98
  4. Step 4: Simplify right side
    551.49x = 307,154.07
  5. Step 5: Solve for x
    x = 307,154.07/551.49
  6. Step 6: Final answer
    x = 556.95

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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.