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Finding the Fourth Proportional to 510.51, 765.57 and 315.45

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Solution

The fourth proportional to 510.51, 765.57 and 315.45 is: 473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.51 : 765.57 = 315.45 : x
  2. Step 2: Convert to fraction form
    510.51/765.57 = 315.45/x
  3. Step 3: Cross multiply
    510.51x = 765.57 × 315.45
  4. Step 4: Simplify right side
    510.51x = 241,499.06
  5. Step 5: Solve for x
    x = 241,499.06/510.51
  6. Step 6: Final answer
    x = 473.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.