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Finding the Fourth Proportional to 564.03, 777.08 and 414.38

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Solution

The fourth proportional to 564.03, 777.08 and 414.38 is: 570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.03 : 777.08 = 414.38 : x
  2. Step 2: Convert to fraction form
    564.03/777.08 = 414.38/x
  3. Step 3: Cross multiply
    564.03x = 777.08 × 414.38
  4. Step 4: Simplify right side
    564.03x = 322,009.39
  5. Step 5: Solve for x
    x = 322,009.39/564.03
  6. Step 6: Final answer
    x = 570.91

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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.