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Finding the Fourth Proportional to 615.40, 916.57 and 583.81

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Solution

The fourth proportional to 615.40, 916.57 and 583.81 is: 869.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.40 : 916.57 = 583.81 : x
  2. Step 2: Convert to fraction form
    615.40/916.57 = 583.81/x
  3. Step 3: Cross multiply
    615.40x = 916.57 × 583.81
  4. Step 4: Simplify right side
    615.40x = 535,097.89
  5. Step 5: Solve for x
    x = 535,097.89/615.40
  6. Step 6: Final answer
    x = 869.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.