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Finding the Fourth Proportional to 525.65, 725.40 and 292.77

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Solution

The fourth proportional to 525.65, 725.40 and 292.77 is: 404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.65 : 725.40 = 292.77 : x
  2. Step 2: Convert to fraction form
    525.65/725.40 = 292.77/x
  3. Step 3: Cross multiply
    525.65x = 725.40 × 292.77
  4. Step 4: Simplify right side
    525.65x = 212,373.89
  5. Step 5: Solve for x
    x = 212,373.89/525.65
  6. Step 6: Final answer
    x = 404.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.