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Finding the Fourth Proportional to 510.09, 704.19 and 335.71

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Solution

The fourth proportional to 510.09, 704.19 and 335.71 is: 463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.09 : 704.19 = 335.71 : x
  2. Step 2: Convert to fraction form
    510.09/704.19 = 335.71/x
  3. Step 3: Cross multiply
    510.09x = 704.19 × 335.71
  4. Step 4: Simplify right side
    510.09x = 236,403.62
  5. Step 5: Solve for x
    x = 236,403.62/510.09
  6. Step 6: Final answer
    x = 463.45

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Double scale
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1.5x scale

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.