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Finding the Fourth Proportional to 563.59, 841.10 and 526.46

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Solution

The fourth proportional to 563.59, 841.10 and 526.46 is: 785.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.59 : 841.10 = 526.46 : x
  2. Step 2: Convert to fraction form
    563.59/841.10 = 526.46/x
  3. Step 3: Cross multiply
    563.59x = 841.10 × 526.46
  4. Step 4: Simplify right side
    563.59x = 442,805.51
  5. Step 5: Solve for x
    x = 442,805.51/563.59
  6. Step 6: Final answer
    x = 785.69

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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.