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Finding the Fourth Proportional to 594.65, 890.35 and 462.41

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Solution

The fourth proportional to 594.65, 890.35 and 462.41 is: 692.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.65 : 890.35 = 462.41 : x
  2. Step 2: Convert to fraction form
    594.65/890.35 = 462.41/x
  3. Step 3: Cross multiply
    594.65x = 890.35 × 462.41
  4. Step 4: Simplify right side
    594.65x = 411,707.81
  5. Step 5: Solve for x
    x = 411,707.81/594.65
  6. Step 6: Final answer
    x = 692.36

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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.