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Finding the Fourth Proportional to 652.50, 900.06 and 419.64

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Solution

The fourth proportional to 652.50, 900.06 and 419.64 is: 578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.50 : 900.06 = 419.64 : x
  2. Step 2: Convert to fraction form
    652.50/900.06 = 419.64/x
  3. Step 3: Cross multiply
    652.50x = 900.06 × 419.64
  4. Step 4: Simplify right side
    652.50x = 377,701.18
  5. Step 5: Solve for x
    x = 377,701.18/652.50
  6. Step 6: Final answer
    x = 578.85

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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.