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Finding the Fourth Proportional to 476.13, 709.86 and 464.16

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Solution

The fourth proportional to 476.13, 709.86 and 464.16 is: 692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.13 : 709.86 = 464.16 : x
  2. Step 2: Convert to fraction form
    476.13/709.86 = 464.16/x
  3. Step 3: Cross multiply
    476.13x = 709.86 × 464.16
  4. Step 4: Simplify right side
    476.13x = 329,486.30
  5. Step 5: Solve for x
    x = 329,486.30/476.13
  6. Step 6: Final answer
    x = 692.01

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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.