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Finding the Fourth Proportional to 470.04, 706.42 and 436.08

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Solution

The fourth proportional to 470.04, 706.42 and 436.08 is: 655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.04 : 706.42 = 436.08 : x
  2. Step 2: Convert to fraction form
    470.04/706.42 = 436.08/x
  3. Step 3: Cross multiply
    470.04x = 706.42 × 436.08
  4. Step 4: Simplify right side
    470.04x = 308,058.83
  5. Step 5: Solve for x
    x = 308,058.83/470.04
  6. Step 6: Final answer
    x = 655.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.