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Finding the Fourth Proportional to 562.96, 776.88 and 330.10

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Solution

The fourth proportional to 562.96, 776.88 and 330.10 is: 455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.96 : 776.88 = 330.10 : x
  2. Step 2: Convert to fraction form
    562.96/776.88 = 330.10/x
  3. Step 3: Cross multiply
    562.96x = 776.88 × 330.10
  4. Step 4: Simplify right side
    562.96x = 256,448.09
  5. Step 5: Solve for x
    x = 256,448.09/562.96
  6. Step 6: Final answer
    x = 455.54

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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.