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Finding the Fourth Proportional to 551.48, 824.88 and 405.32

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Solution

The fourth proportional to 551.48, 824.88 and 405.32 is: 606.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.48 : 824.88 = 405.32 : x
  2. Step 2: Convert to fraction form
    551.48/824.88 = 405.32/x
  3. Step 3: Cross multiply
    551.48x = 824.88 × 405.32
  4. Step 4: Simplify right side
    551.48x = 334,340.36
  5. Step 5: Solve for x
    x = 334,340.36/551.48
  6. Step 6: Final answer
    x = 606.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.