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Finding the Fourth Proportional to 560.74, 840.29 and 316.01

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Solution

The fourth proportional to 560.74, 840.29 and 316.01 is: 473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.74 : 840.29 = 316.01 : x
  2. Step 2: Convert to fraction form
    560.74/840.29 = 316.01/x
  3. Step 3: Cross multiply
    560.74x = 840.29 × 316.01
  4. Step 4: Simplify right side
    560.74x = 265,538.46
  5. Step 5: Solve for x
    x = 265,538.46/560.74
  6. Step 6: Final answer
    x = 473.55

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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.