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Finding the Fourth Proportional to 710.00, 1,064.76 and 363.72

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Solution

The fourth proportional to 710.00, 1,064.76 and 363.72 is: 545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.00 : 1,064.76 = 363.72 : x
  2. Step 2: Convert to fraction form
    710.00/1,064.76 = 363.72/x
  3. Step 3: Cross multiply
    710.00x = 1,064.76 × 363.72
  4. Step 4: Simplify right side
    710.00x = 387,274.51
  5. Step 5: Solve for x
    x = 387,274.51/710.00
  6. Step 6: Final answer
    x = 545.46

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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.