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Finding the Fourth Proportional to 510.24, 761.64 and 467.04

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Solution

The fourth proportional to 510.24, 761.64 and 467.04 is: 697.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.24 : 761.64 = 467.04 : x
  2. Step 2: Convert to fraction form
    510.24/761.64 = 467.04/x
  3. Step 3: Cross multiply
    510.24x = 761.64 × 467.04
  4. Step 4: Simplify right side
    510.24x = 355,716.35
  5. Step 5: Solve for x
    x = 355,716.35/510.24
  6. Step 6: Final answer
    x = 697.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.