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Finding the Fourth Proportional to 591.63, 816.80 and 434.13

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Solution

The fourth proportional to 591.63, 816.80 and 434.13 is: 599.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.63 : 816.80 = 434.13 : x
  2. Step 2: Convert to fraction form
    591.63/816.80 = 434.13/x
  3. Step 3: Cross multiply
    591.63x = 816.80 × 434.13
  4. Step 4: Simplify right side
    591.63x = 354,595.21
  5. Step 5: Solve for x
    x = 354,595.21/591.63
  6. Step 6: Final answer
    x = 599.35

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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.