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Finding the Fourth Proportional to 526.10, 725.36 and 432.34

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Solution

The fourth proportional to 526.10, 725.36 and 432.34 is: 596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.10 : 725.36 = 432.34 : x
  2. Step 2: Convert to fraction form
    526.10/725.36 = 432.34/x
  3. Step 3: Cross multiply
    526.10x = 725.36 × 432.34
  4. Step 4: Simplify right side
    526.10x = 313,598.17
  5. Step 5: Solve for x
    x = 313,598.17/526.10
  6. Step 6: Final answer
    x = 596.09

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Why These Related Problems?

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