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Finding the Fourth Proportional to 525.12, 786.96 and 461.76

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Solution

The fourth proportional to 525.12, 786.96 and 461.76 is: 692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.12 : 786.96 = 461.76 : x
  2. Step 2: Convert to fraction form
    525.12/786.96 = 461.76/x
  3. Step 3: Cross multiply
    525.12x = 786.96 × 461.76
  4. Step 4: Simplify right side
    525.12x = 363,386.65
  5. Step 5: Solve for x
    x = 363,386.65/525.12
  6. Step 6: Final answer
    x = 692.01

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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.