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Finding the Fourth Proportional to 491.07, 677.33 and 358.16

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Solution

The fourth proportional to 491.07, 677.33 and 358.16 is: 494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.07 : 677.33 = 358.16 : x
  2. Step 2: Convert to fraction form
    491.07/677.33 = 358.16/x
  3. Step 3: Cross multiply
    491.07x = 677.33 × 358.16
  4. Step 4: Simplify right side
    491.07x = 242,592.51
  5. Step 5: Solve for x
    x = 242,592.51/491.07
  6. Step 6: Final answer
    x = 494.01

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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.