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Finding the Fourth Proportional to 546.16, 823.36 and 510.93

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Solution

The fourth proportional to 546.16, 823.36 and 510.93 is: 770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.16 : 823.36 = 510.93 : x
  2. Step 2: Convert to fraction form
    546.16/823.36 = 510.93/x
  3. Step 3: Cross multiply
    546.16x = 823.36 × 510.93
  4. Step 4: Simplify right side
    546.16x = 420,679.32
  5. Step 5: Solve for x
    x = 420,679.32/546.16
  6. Step 6: Final answer
    x = 770.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.