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Finding the Fourth Proportional to 594.39, 890.66 and 464.08

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Solution

The fourth proportional to 594.39, 890.66 and 464.08 is: 695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.39 : 890.66 = 464.08 : x
  2. Step 2: Convert to fraction form
    594.39/890.66 = 464.08/x
  3. Step 3: Cross multiply
    594.39x = 890.66 × 464.08
  4. Step 4: Simplify right side
    594.39x = 413,330.72
  5. Step 5: Solve for x
    x = 413,330.72/594.39
  6. Step 6: Final answer
    x = 695.39

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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.