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Finding the Fourth Proportional to 699.35, 964.64 and 436.91

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Solution

The fourth proportional to 699.35, 964.64 and 436.91 is: 602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.35 : 964.64 = 436.91 : x
  2. Step 2: Convert to fraction form
    699.35/964.64 = 436.91/x
  3. Step 3: Cross multiply
    699.35x = 964.64 × 436.91
  4. Step 4: Simplify right side
    699.35x = 421,457.13
  5. Step 5: Solve for x
    x = 421,457.13/699.35
  6. Step 6: Final answer
    x = 602.65

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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.