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Finding the Fourth Proportional to 591.13, 816.05 and 458.05

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Solution

The fourth proportional to 591.13, 816.05 and 458.05 is: 632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.13 : 816.05 = 458.05 : x
  2. Step 2: Convert to fraction form
    591.13/816.05 = 458.05/x
  3. Step 3: Cross multiply
    591.13x = 816.05 × 458.05
  4. Step 4: Simplify right side
    591.13x = 373,792.15
  5. Step 5: Solve for x
    x = 373,792.15/591.13
  6. Step 6: Final answer
    x = 632.34

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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.