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Finding the Fourth Proportional to 536.04, 740.37 and 466.08

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Solution

The fourth proportional to 536.04, 740.37 and 466.08 is: 643.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.04 : 740.37 = 466.08 : x
  2. Step 2: Convert to fraction form
    536.04/740.37 = 466.08/x
  3. Step 3: Cross multiply
    536.04x = 740.37 × 466.08
  4. Step 4: Simplify right side
    536.04x = 345,071.65
  5. Step 5: Solve for x
    x = 345,071.65/536.04
  6. Step 6: Final answer
    x = 643.74

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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.