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Finding the Fourth Proportional to 340.19, 510.35 and 288.93

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Solution

The fourth proportional to 340.19, 510.35 and 288.93 is: 433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.19 : 510.35 = 288.93 : x
  2. Step 2: Convert to fraction form
    340.19/510.35 = 288.93/x
  3. Step 3: Cross multiply
    340.19x = 510.35 × 288.93
  4. Step 4: Simplify right side
    340.19x = 147,455.43
  5. Step 5: Solve for x
    x = 147,455.43/340.19
  6. Step 6: Final answer
    x = 433.45

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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.