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Finding the Fourth Proportional to 433.42, 652.46 and 373.88

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Solution

The fourth proportional to 433.42, 652.46 and 373.88 is: 562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.42 : 652.46 = 373.88 : x
  2. Step 2: Convert to fraction form
    433.42/652.46 = 373.88/x
  3. Step 3: Cross multiply
    433.42x = 652.46 × 373.88
  4. Step 4: Simplify right side
    433.42x = 243,941.74
  5. Step 5: Solve for x
    x = 243,941.74/433.42
  6. Step 6: Final answer
    x = 562.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.