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Finding the Fourth Proportional to 510.84, 705.12 and 301.01

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Solution

The fourth proportional to 510.84, 705.12 and 301.01 is: 415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.84 : 705.12 = 301.01 : x
  2. Step 2: Convert to fraction form
    510.84/705.12 = 301.01/x
  3. Step 3: Cross multiply
    510.84x = 705.12 × 301.01
  4. Step 4: Simplify right side
    510.84x = 212,244.65
  5. Step 5: Solve for x
    x = 212,244.65/510.84
  6. Step 6: Final answer
    x = 415.48

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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.