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Finding the Fourth Proportional to 575.65, 864.35 and 507.74

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Solution

The fourth proportional to 575.65, 864.35 and 507.74 is: 762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.65 : 864.35 = 507.74 : x
  2. Step 2: Convert to fraction form
    575.65/864.35 = 507.74/x
  3. Step 3: Cross multiply
    575.65x = 864.35 × 507.74
  4. Step 4: Simplify right side
    575.65x = 438,862.53
  5. Step 5: Solve for x
    x = 438,862.53/575.65
  6. Step 6: Final answer
    x = 762.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.