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Finding the Fourth Proportional to 509.65, 706.55 and 483.30

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Solution

The fourth proportional to 509.65, 706.55 and 483.30 is: 670.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.65 : 706.55 = 483.30 : x
  2. Step 2: Convert to fraction form
    509.65/706.55 = 483.30/x
  3. Step 3: Cross multiply
    509.65x = 706.55 × 483.30
  4. Step 4: Simplify right side
    509.65x = 341,473.20
  5. Step 5: Solve for x
    x = 341,473.20/509.65
  6. Step 6: Final answer
    x = 670.02

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.