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Finding the Fourth Proportional to 546.84, 816.35 and 510.93

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Solution

The fourth proportional to 546.84, 816.35 and 510.93 is: 762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.84 : 816.35 = 510.93 : x
  2. Step 2: Convert to fraction form
    546.84/816.35 = 510.93/x
  3. Step 3: Cross multiply
    546.84x = 816.35 × 510.93
  4. Step 4: Simplify right side
    546.84x = 417,095.15
  5. Step 5: Solve for x
    x = 417,095.15/546.84
  6. Step 6: Final answer
    x = 762.74

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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.