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Finding the Fourth Proportional to 595.04, 821.10 and 332.96

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Solution

The fourth proportional to 595.04, 821.10 and 332.96 is: 459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.04 : 821.10 = 332.96 : x
  2. Step 2: Convert to fraction form
    595.04/821.10 = 332.96/x
  3. Step 3: Cross multiply
    595.04x = 821.10 × 332.96
  4. Step 4: Simplify right side
    595.04x = 273,393.46
  5. Step 5: Solve for x
    x = 273,393.46/595.04
  6. Step 6: Final answer
    x = 459.45

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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.