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Finding the Fourth Proportional to 500.02, 689.99 and 313.50

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Solution

The fourth proportional to 500.02, 689.99 and 313.50 is: 432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.02 : 689.99 = 313.50 : x
  2. Step 2: Convert to fraction form
    500.02/689.99 = 313.50/x
  3. Step 3: Cross multiply
    500.02x = 689.99 × 313.50
  4. Step 4: Simplify right side
    500.02x = 216,312.65
  5. Step 5: Solve for x
    x = 216,312.65/500.02
  6. Step 6: Final answer
    x = 432.61

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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.