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Finding the Fourth Proportional to 710.16, 1,064.70 and 402.36

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Solution

The fourth proportional to 710.16, 1,064.70 and 402.36 is: 603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.16 : 1,064.70 = 402.36 : x
  2. Step 2: Convert to fraction form
    710.16/1,064.70 = 402.36/x
  3. Step 3: Cross multiply
    710.16x = 1,064.70 × 402.36
  4. Step 4: Simplify right side
    710.16x = 428,392.69
  5. Step 5: Solve for x
    x = 428,392.69/710.16
  6. Step 6: Final answer
    x = 603.23

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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.