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Finding the Fourth Proportional to 524.85, 787.05 and 305.70

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Solution

The fourth proportional to 524.85, 787.05 and 305.70 is: 458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.85 : 787.05 = 305.70 : x
  2. Step 2: Convert to fraction form
    524.85/787.05 = 305.70/x
  3. Step 3: Cross multiply
    524.85x = 787.05 × 305.70
  4. Step 4: Simplify right side
    524.85x = 240,598.23
  5. Step 5: Solve for x
    x = 240,598.23/524.85
  6. Step 6: Final answer
    x = 458.41

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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.