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Finding the Fourth Proportional to 580.76, 870.53 and 306.25

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Solution

The fourth proportional to 580.76, 870.53 and 306.25 is: 459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.76 : 870.53 = 306.25 : x
  2. Step 2: Convert to fraction form
    580.76/870.53 = 306.25/x
  3. Step 3: Cross multiply
    580.76x = 870.53 × 306.25
  4. Step 4: Simplify right side
    580.76x = 266,598.40
  5. Step 5: Solve for x
    x = 266,598.40/580.76
  6. Step 6: Final answer
    x = 459.05

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Why These Related Problems?

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