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Finding the Fourth Proportional to 597.32, 824.64 and 466.04

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Solution

The fourth proportional to 597.32, 824.64 and 466.04 is: 643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.32 : 824.64 = 466.04 : x
  2. Step 2: Convert to fraction form
    597.32/824.64 = 466.04/x
  3. Step 3: Cross multiply
    597.32x = 824.64 × 466.04
  4. Step 4: Simplify right side
    597.32x = 384,315.23
  5. Step 5: Solve for x
    x = 384,315.23/597.32
  6. Step 6: Final answer
    x = 643.40

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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.