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Finding the Fourth Proportional to 564.90, 846.18 and 290.16

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Solution

The fourth proportional to 564.90, 846.18 and 290.16 is: 434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.90 : 846.18 = 290.16 : x
  2. Step 2: Convert to fraction form
    564.90/846.18 = 290.16/x
  3. Step 3: Cross multiply
    564.90x = 846.18 × 290.16
  4. Step 4: Simplify right side
    564.90x = 245,527.59
  5. Step 5: Solve for x
    x = 245,527.59/564.90
  6. Step 6: Final answer
    x = 434.64

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Why These Related Problems?

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