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Finding the Fourth Proportional to 526.35, 789 and 265.58

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Solution

The fourth proportional to 526.35, 789 and 265.58 is: 398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.35 : 789 = 265.58 : x
  2. Step 2: Convert to fraction form
    526.35/789 = 265.58/x
  3. Step 3: Cross multiply
    526.35x = 789 × 265.58
  4. Step 4: Simplify right side
    526.35x = 209,538.68
  5. Step 5: Solve for x
    x = 209,538.68/526.35
  6. Step 6: Final answer
    x = 398.10

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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.