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Finding the Fourth Proportional to 597.64, 824.46 and 465.74

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Solution

The fourth proportional to 597.64, 824.46 and 465.74 is: 642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.64 : 824.46 = 465.74 : x
  2. Step 2: Convert to fraction form
    597.64/824.46 = 465.74/x
  3. Step 3: Cross multiply
    597.64x = 824.46 × 465.74
  4. Step 4: Simplify right side
    597.64x = 383,984.00
  5. Step 5: Solve for x
    x = 383,984.00/597.64
  6. Step 6: Final answer
    x = 642.50

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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.