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Finding the Fourth Proportional to 507.12, 700.65 and 383.19

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Solution

The fourth proportional to 507.12, 700.65 and 383.19 is: 529.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.12 : 700.65 = 383.19 : x
  2. Step 2: Convert to fraction form
    507.12/700.65 = 383.19/x
  3. Step 3: Cross multiply
    507.12x = 700.65 × 383.19
  4. Step 4: Simplify right side
    507.12x = 268,482.07
  5. Step 5: Solve for x
    x = 268,482.07/507.12
  6. Step 6: Final answer
    x = 529.43

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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.