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Finding the Fourth Proportional to 526.66, 727.32 and 460.18

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Solution

The fourth proportional to 526.66, 727.32 and 460.18 is: 635.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.66 : 727.32 = 460.18 : x
  2. Step 2: Convert to fraction form
    526.66/727.32 = 460.18/x
  3. Step 3: Cross multiply
    526.66x = 727.32 × 460.18
  4. Step 4: Simplify right side
    526.66x = 334,698.12
  5. Step 5: Solve for x
    x = 334,698.12/526.66
  6. Step 6: Final answer
    x = 635.51

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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.