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Finding the Fourth Proportional to 526.02, 725.92 and 293.16

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Solution

The fourth proportional to 526.02, 725.92 and 293.16 is: 404.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.02 : 725.92 = 293.16 : x
  2. Step 2: Convert to fraction form
    526.02/725.92 = 293.16/x
  3. Step 3: Cross multiply
    526.02x = 725.92 × 293.16
  4. Step 4: Simplify right side
    526.02x = 212,810.71
  5. Step 5: Solve for x
    x = 212,810.71/526.02
  6. Step 6: Final answer
    x = 404.57

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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.