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Finding the Fourth Proportional to 526.94, 789.20 and 307.02

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Solution

The fourth proportional to 526.94, 789.20 and 307.02 is: 459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.94 : 789.20 = 307.02 : x
  2. Step 2: Convert to fraction form
    526.94/789.20 = 307.02/x
  3. Step 3: Cross multiply
    526.94x = 789.20 × 307.02
  4. Step 4: Simplify right side
    526.94x = 242,300.18
  5. Step 5: Solve for x
    x = 242,300.18/526.94
  6. Step 6: Final answer
    x = 459.82

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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.