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Finding the Fourth Proportional to 591.30, 816.35 and 466.16

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Solution

The fourth proportional to 591.30, 816.35 and 466.16 is: 643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.30 : 816.35 = 466.16 : x
  2. Step 2: Convert to fraction form
    591.30/816.35 = 466.16/x
  3. Step 3: Cross multiply
    591.30x = 816.35 × 466.16
  4. Step 4: Simplify right side
    591.30x = 380,543.30
  5. Step 5: Solve for x
    x = 380,543.30/591.30
  6. Step 6: Final answer
    x = 643.57

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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.