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Finding the Fourth Proportional to 597.15, 823.23 and 464.13

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Solution

The fourth proportional to 597.15, 823.23 and 464.13 is: 639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.15 : 823.23 = 464.13 : x
  2. Step 2: Convert to fraction form
    597.15/823.23 = 464.13/x
  3. Step 3: Cross multiply
    597.15x = 823.23 × 464.13
  4. Step 4: Simplify right side
    597.15x = 382,085.74
  5. Step 5: Solve for x
    x = 382,085.74/597.15
  6. Step 6: Final answer
    x = 639.85

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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.