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Finding the Fourth Proportional to 564.76, 776.74 and 454.06

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Solution

The fourth proportional to 564.76, 776.74 and 454.06 is: 624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.76 : 776.74 = 454.06 : x
  2. Step 2: Convert to fraction form
    564.76/776.74 = 454.06/x
  3. Step 3: Cross multiply
    564.76x = 776.74 × 454.06
  4. Step 4: Simplify right side
    564.76x = 352,686.56
  5. Step 5: Solve for x
    x = 352,686.56/564.76
  6. Step 6: Final answer
    x = 624.49

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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.