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Finding the Fourth Proportional to 601.60, 900.69 and 464.91

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Solution

The fourth proportional to 601.60, 900.69 and 464.91 is: 696.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.60 : 900.69 = 464.91 : x
  2. Step 2: Convert to fraction form
    601.60/900.69 = 464.91/x
  3. Step 3: Cross multiply
    601.60x = 900.69 × 464.91
  4. Step 4: Simplify right side
    601.60x = 418,746.19
  5. Step 5: Solve for x
    x = 418,746.19/601.60
  6. Step 6: Final answer
    x = 696.05

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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.