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Finding the Fourth Proportional to 515.58, 772.54 and 497.76

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Solution

The fourth proportional to 515.58, 772.54 and 497.76 is: 745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.58 : 772.54 = 497.76 : x
  2. Step 2: Convert to fraction form
    515.58/772.54 = 497.76/x
  3. Step 3: Cross multiply
    515.58x = 772.54 × 497.76
  4. Step 4: Simplify right side
    515.58x = 384,539.51
  5. Step 5: Solve for x
    x = 384,539.51/515.58
  6. Step 6: Final answer
    x = 745.84

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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.