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Finding the Fourth Proportional to 507.70, 700.59 and 332.74

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Solution

The fourth proportional to 507.70, 700.59 and 332.74 is: 459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.70 : 700.59 = 332.74 : x
  2. Step 2: Convert to fraction form
    507.70/700.59 = 332.74/x
  3. Step 3: Cross multiply
    507.70x = 700.59 × 332.74
  4. Step 4: Simplify right side
    507.70x = 233,114.32
  5. Step 5: Solve for x
    x = 233,114.32/507.70
  6. Step 6: Final answer
    x = 459.16

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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.