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Finding the Fourth Proportional to 594.93, 821.01 and 332.94

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Solution

The fourth proportional to 594.93, 821.01 and 332.94 is: 459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.93 : 821.01 = 332.94 : x
  2. Step 2: Convert to fraction form
    594.93/821.01 = 332.94/x
  3. Step 3: Cross multiply
    594.93x = 821.01 × 332.94
  4. Step 4: Simplify right side
    594.93x = 273,347.07
  5. Step 5: Solve for x
    x = 273,347.07/594.93
  6. Step 6: Final answer
    x = 459.46

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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.