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Finding the Fourth Proportional to 594.54, 890.40 and 456.58

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Solution

The fourth proportional to 594.54, 890.40 and 456.58 is: 683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.54 : 890.40 = 456.58 : x
  2. Step 2: Convert to fraction form
    594.54/890.40 = 456.58/x
  3. Step 3: Cross multiply
    594.54x = 890.40 × 456.58
  4. Step 4: Simplify right side
    594.54x = 406,538.83
  5. Step 5: Solve for x
    x = 406,538.83/594.54
  6. Step 6: Final answer
    x = 683.79

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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.