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Finding the Fourth Proportional to 564.84, 779.76 and 405.72

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Solution

The fourth proportional to 564.84, 779.76 and 405.72 is: 560.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.84 : 779.76 = 405.72 : x
  2. Step 2: Convert to fraction form
    564.84/779.76 = 405.72/x
  3. Step 3: Cross multiply
    564.84x = 779.76 × 405.72
  4. Step 4: Simplify right side
    564.84x = 316,364.23
  5. Step 5: Solve for x
    x = 316,364.23/564.84
  6. Step 6: Final answer
    x = 560.10

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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.