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Finding the Fourth Proportional to 510.95, 704.96 and 353.40

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Solution

The fourth proportional to 510.95, 704.96 and 353.40 is: 487.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.95 : 704.96 = 353.40 : x
  2. Step 2: Convert to fraction form
    510.95/704.96 = 353.40/x
  3. Step 3: Cross multiply
    510.95x = 704.96 × 353.40
  4. Step 4: Simplify right side
    510.95x = 249,132.86
  5. Step 5: Solve for x
    x = 249,132.86/510.95
  6. Step 6: Final answer
    x = 487.59

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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.