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Finding the Fourth Proportional to 612.58, 844.50 and 435.64

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Solution

The fourth proportional to 612.58, 844.50 and 435.64 is: 600.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.58 : 844.50 = 435.64 : x
  2. Step 2: Convert to fraction form
    612.58/844.50 = 435.64/x
  3. Step 3: Cross multiply
    612.58x = 844.50 × 435.64
  4. Step 4: Simplify right side
    612.58x = 367,895.87
  5. Step 5: Solve for x
    x = 367,895.87/612.58
  6. Step 6: Final answer
    x = 600.57

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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.