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Finding the Fourth Proportional to 483.04, 666.16 and 431.84

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Solution

The fourth proportional to 483.04, 666.16 and 431.84 is: 595.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.04 : 666.16 = 431.84 : x
  2. Step 2: Convert to fraction form
    483.04/666.16 = 431.84/x
  3. Step 3: Cross multiply
    483.04x = 666.16 × 431.84
  4. Step 4: Simplify right side
    483.04x = 287,674.53
  5. Step 5: Solve for x
    x = 287,674.53/483.04
  6. Step 6: Final answer
    x = 595.55

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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.