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Finding the Fourth Proportional to 570.78, 784.98 and 497.16

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Solution

The fourth proportional to 570.78, 784.98 and 497.16 is: 683.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.78 : 784.98 = 497.16 : x
  2. Step 2: Convert to fraction form
    570.78/784.98 = 497.16/x
  3. Step 3: Cross multiply
    570.78x = 784.98 × 497.16
  4. Step 4: Simplify right side
    570.78x = 390,260.66
  5. Step 5: Solve for x
    x = 390,260.66/570.78
  6. Step 6: Final answer
    x = 683.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.