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Finding the Fourth Proportional to 525.14, 786.80 and 468.66

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Solution

The fourth proportional to 525.14, 786.80 and 468.66 is: 702.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.14 : 786.80 = 468.66 : x
  2. Step 2: Convert to fraction form
    525.14/786.80 = 468.66/x
  3. Step 3: Cross multiply
    525.14x = 786.80 × 468.66
  4. Step 4: Simplify right side
    525.14x = 368,741.69
  5. Step 5: Solve for x
    x = 368,741.69/525.14
  6. Step 6: Final answer
    x = 702.18

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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.