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Finding the Fourth Proportional to 500.02, 690.34 and 313.58

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Solution

The fourth proportional to 500.02, 690.34 and 313.58 is: 432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.02 : 690.34 = 313.58 : x
  2. Step 2: Convert to fraction form
    500.02/690.34 = 313.58/x
  3. Step 3: Cross multiply
    500.02x = 690.34 × 313.58
  4. Step 4: Simplify right side
    500.02x = 216,476.82
  5. Step 5: Solve for x
    x = 216,476.82/500.02
  6. Step 6: Final answer
    x = 432.94

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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.