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Finding the Fourth Proportional to 473.01, 652.30 and 435.77

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Solution

The fourth proportional to 473.01, 652.30 and 435.77 is: 600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.01 : 652.30 = 435.77 : x
  2. Step 2: Convert to fraction form
    473.01/652.30 = 435.77/x
  3. Step 3: Cross multiply
    473.01x = 652.30 × 435.77
  4. Step 4: Simplify right side
    473.01x = 284,250.87
  5. Step 5: Solve for x
    x = 284,250.87/473.01
  6. Step 6: Final answer
    x = 600.95

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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.