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Finding the Fourth Proportional to 597.04, 824.56 and 465.84

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Solution

The fourth proportional to 597.04, 824.56 and 465.84 is: 643.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.04 : 824.56 = 465.84 : x
  2. Step 2: Convert to fraction form
    597.04/824.56 = 465.84/x
  3. Step 3: Cross multiply
    597.04x = 824.56 × 465.84
  4. Step 4: Simplify right side
    597.04x = 384,111.87
  5. Step 5: Solve for x
    x = 384,111.87/597.04
  6. Step 6: Final answer
    x = 643.36

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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.