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Finding the Fourth Proportional to 597.45, 823.59 and 586.53

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Solution

The fourth proportional to 597.45, 823.59 and 586.53 is: 808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.45 : 823.59 = 586.53 : x
  2. Step 2: Convert to fraction form
    597.45/823.59 = 586.53/x
  3. Step 3: Cross multiply
    597.45x = 823.59 × 586.53
  4. Step 4: Simplify right side
    597.45x = 483,060.24
  5. Step 5: Solve for x
    x = 483,060.24/597.45
  6. Step 6: Final answer
    x = 808.54

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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.