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Finding the Fourth Proportional to 510.07, 761.35 and 473.96

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Solution

The fourth proportional to 510.07, 761.35 and 473.96 is: 707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.07 : 761.35 = 473.96 : x
  2. Step 2: Convert to fraction form
    510.07/761.35 = 473.96/x
  3. Step 3: Cross multiply
    510.07x = 761.35 × 473.96
  4. Step 4: Simplify right side
    510.07x = 360,849.45
  5. Step 5: Solve for x
    x = 360,849.45/510.07
  6. Step 6: Final answer
    x = 707.45

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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.