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Finding the Fourth Proportional to 564.40, 779.58 and 434.08

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Solution

The fourth proportional to 564.40, 779.58 and 434.08 is: 599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.40 : 779.58 = 434.08 : x
  2. Step 2: Convert to fraction form
    564.40/779.58 = 434.08/x
  3. Step 3: Cross multiply
    564.40x = 779.58 × 434.08
  4. Step 4: Simplify right side
    564.40x = 338,400.09
  5. Step 5: Solve for x
    x = 338,400.09/564.40
  6. Step 6: Final answer
    x = 599.57

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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.