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Finding the Fourth Proportional to 473, 652.88 and 380.06

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Solution

The fourth proportional to 473, 652.88 and 380.06 is: 524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473 : 652.88 = 380.06 : x
  2. Step 2: Convert to fraction form
    473/652.88 = 380.06/x
  3. Step 3: Cross multiply
    473x = 652.88 × 380.06
  4. Step 4: Simplify right side
    473x = 248,133.57
  5. Step 5: Solve for x
    x = 248,133.57/473
  6. Step 6: Final answer
    x = 524.60

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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.