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Finding the Fourth Proportional to 970.16, 1,455.08 and 286

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Solution

The fourth proportional to 970.16, 1,455.08 and 286 is: 428.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.16 : 1,455.08 = 286 : x
  2. Step 2: Convert to fraction form
    970.16/1,455.08 = 286/x
  3. Step 3: Cross multiply
    970.16x = 1,455.08 × 286
  4. Step 4: Simplify right side
    970.16x = 416,152.88
  5. Step 5: Solve for x
    x = 416,152.88/970.16
  6. Step 6: Final answer
    x = 428.95

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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.