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Finding the Fourth Proportional to 551.93, 760.59 and 404.61

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Solution

The fourth proportional to 551.93, 760.59 and 404.61 is: 557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.93 : 760.59 = 404.61 : x
  2. Step 2: Convert to fraction form
    551.93/760.59 = 404.61/x
  3. Step 3: Cross multiply
    551.93x = 760.59 × 404.61
  4. Step 4: Simplify right side
    551.93x = 307,742.32
  5. Step 5: Solve for x
    x = 307,742.32/551.93
  6. Step 6: Final answer
    x = 557.58

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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.