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Finding the Fourth Proportional to 510.75, 765.71 and 437.35

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Solution

The fourth proportional to 510.75, 765.71 and 437.35 is: 655.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.75 : 765.71 = 437.35 : x
  2. Step 2: Convert to fraction form
    510.75/765.71 = 437.35/x
  3. Step 3: Cross multiply
    510.75x = 765.71 × 437.35
  4. Step 4: Simplify right side
    510.75x = 334,880.81
  5. Step 5: Solve for x
    x = 334,880.81/510.75
  6. Step 6: Final answer
    x = 655.66

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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.