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Finding the Fourth Proportional to 601.50, 830.16 and 435.65

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Solution

The fourth proportional to 601.50, 830.16 and 435.65 is: 601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.50 : 830.16 = 435.65 : x
  2. Step 2: Convert to fraction form
    601.50/830.16 = 435.65/x
  3. Step 3: Cross multiply
    601.50x = 830.16 × 435.65
  4. Step 4: Simplify right side
    601.50x = 361,652.87
  5. Step 5: Solve for x
    x = 361,652.87/601.50
  6. Step 6: Final answer
    x = 601.26

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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.