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Finding the Fourth Proportional to 476.44, 710.81 and 407.16

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Solution

The fourth proportional to 476.44, 710.81 and 407.16 is: 607.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.44 : 710.81 = 407.16 : x
  2. Step 2: Convert to fraction form
    476.44/710.81 = 407.16/x
  3. Step 3: Cross multiply
    476.44x = 710.81 × 407.16
  4. Step 4: Simplify right side
    476.44x = 289,413.40
  5. Step 5: Solve for x
    x = 289,413.40/476.44
  6. Step 6: Final answer
    x = 607.45

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