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Finding the Fourth Proportional to 510.99, 705.21 and 314.52

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Solution

The fourth proportional to 510.99, 705.21 and 314.52 is: 434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.99 : 705.21 = 314.52 : x
  2. Step 2: Convert to fraction form
    510.99/705.21 = 314.52/x
  3. Step 3: Cross multiply
    510.99x = 705.21 × 314.52
  4. Step 4: Simplify right side
    510.99x = 221,802.65
  5. Step 5: Solve for x
    x = 221,802.65/510.99
  6. Step 6: Final answer
    x = 434.06

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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.