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Finding the Fourth Proportional to 510.57, 705.74 and 364.46

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Solution

The fourth proportional to 510.57, 705.74 and 364.46 is: 503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.57 : 705.74 = 364.46 : x
  2. Step 2: Convert to fraction form
    510.57/705.74 = 364.46/x
  3. Step 3: Cross multiply
    510.57x = 705.74 × 364.46
  4. Step 4: Simplify right side
    510.57x = 257,208.65
  5. Step 5: Solve for x
    x = 257,208.65/510.57
  6. Step 6: Final answer
    x = 503.77

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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.