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Finding the Fourth Proportional to 564.69, 848.71 and 467.81

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Solution

The fourth proportional to 564.69, 848.71 and 467.81 is: 703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.69 : 848.71 = 467.81 : x
  2. Step 2: Convert to fraction form
    564.69/848.71 = 467.81/x
  3. Step 3: Cross multiply
    564.69x = 848.71 × 467.81
  4. Step 4: Simplify right side
    564.69x = 397,033.51
  5. Step 5: Solve for x
    x = 397,033.51/564.69
  6. Step 6: Final answer
    x = 703.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.