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Finding the Fourth Proportional to 464.24, 692.74 and 417.80

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Solution

The fourth proportional to 464.24, 692.74 and 417.80 is: 623.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.24 : 692.74 = 417.80 : x
  2. Step 2: Convert to fraction form
    464.24/692.74 = 417.80/x
  3. Step 3: Cross multiply
    464.24x = 692.74 × 417.80
  4. Step 4: Simplify right side
    464.24x = 289,426.77
  5. Step 5: Solve for x
    x = 289,426.77/464.24
  6. Step 6: Final answer
    x = 623.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.