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Finding the Fourth Proportional to 525.04, 786.30 and 402.38

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Solution

The fourth proportional to 525.04, 786.30 and 402.38 is: 602.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.04 : 786.30 = 402.38 : x
  2. Step 2: Convert to fraction form
    525.04/786.30 = 402.38/x
  3. Step 3: Cross multiply
    525.04x = 786.30 × 402.38
  4. Step 4: Simplify right side
    525.04x = 316,391.39
  5. Step 5: Solve for x
    x = 316,391.39/525.04
  6. Step 6: Final answer
    x = 602.60

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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.