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Finding the Fourth Proportional to 509, 702.54 and 302.12

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Solution

The fourth proportional to 509, 702.54 and 302.12 is: 417.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    509 : 702.54 = 302.12 : x
  2. Step 2: Convert to fraction form
    509/702.54 = 302.12/x
  3. Step 3: Cross multiply
    509x = 702.54 × 302.12
  4. Step 4: Simplify right side
    509x = 212,251.38
  5. Step 5: Solve for x
    x = 212,251.38/509
  6. Step 6: Final answer
    x = 417.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.