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Finding the Fourth Proportional to 810.02, 1,213.59 and 340.46

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Solution

The fourth proportional to 810.02, 1,213.59 and 340.46 is: 510.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.02 : 1,213.59 = 340.46 : x
  2. Step 2: Convert to fraction form
    810.02/1,213.59 = 340.46/x
  3. Step 3: Cross multiply
    810.02x = 1,213.59 × 340.46
  4. Step 4: Simplify right side
    810.02x = 413,178.85
  5. Step 5: Solve for x
    x = 413,178.85/810.02
  6. Step 6: Final answer
    x = 510.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.