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Finding the Fourth Proportional to 526.95, 727.58 and 340.55

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Solution

The fourth proportional to 526.95, 727.58 and 340.55 is: 470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.95 : 727.58 = 340.55 : x
  2. Step 2: Convert to fraction form
    526.95/727.58 = 340.55/x
  3. Step 3: Cross multiply
    526.95x = 727.58 × 340.55
  4. Step 4: Simplify right side
    526.95x = 247,775.40
  5. Step 5: Solve for x
    x = 247,775.40/526.95
  6. Step 6: Final answer
    x = 470.21

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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.