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Finding the Fourth Proportional to 500.04, 690.12 and 342.84

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Solution

The fourth proportional to 500.04, 690.12 and 342.84 is: 473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.04 : 690.12 = 342.84 : x
  2. Step 2: Convert to fraction form
    500.04/690.12 = 342.84/x
  3. Step 3: Cross multiply
    500.04x = 690.12 × 342.84
  4. Step 4: Simplify right side
    500.04x = 236,600.74
  5. Step 5: Solve for x
    x = 236,600.74/500.04
  6. Step 6: Final answer
    x = 473.16

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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.